Given Numbers: 7, 21
Identify the Prime Factors of 7 and 21 by Prime Factorization:
Prime Factorization of 7: 7 = 71 (prime number)
Prime Factorization of 21: 21 = 3 x 7 = 31 x 71
Prime Factors of 7 and 21 (collectively): 3 and 7
Least Common Multiple of 7 and 21 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(7, 21) = 31 x 71
LCM(7, 21) = 3 x 7
LCM(7, 21) = 21
Note: Since 21 is a multiple of 7, it is also the Least Common Multiple (LCM) of the two given numbers
Least Common Multiple of 7 and 21 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.