Least Common Multiple of 3 and 27 by Prime Factorization

Given Numbers: 3, 27
Identify the Prime Factors of 3 and 27 by Prime Factorization:
Prime Factorization of 3: 3 = 3¹ (prime number)
Prime Factorization of 27: 27 = 3 x 3 x 3 = 3³
Prime Factor of 3 and 27: 3
Least Common Multiple of 3 and 27 is their Prime Factor raised to its highest occurrence (largest exponent):
LCM(3, 27) = 3³
LCM(3, 27) = 27
LCM(3, 27) = 27
Notes:

• Since the given numbers are powers of 3 (prime powers), the largest one (27) is equal to the Least Common Multiple (LCM)
• Since 27 is a multiple of 3, it is also the Least Common Multiple (LCM) of the two given numbers