What is the Least Common Multiple of 15120 and 15129?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15120 and 15129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15120 and 15129, than apply into the LCM equation.

GCF(15120,15129) = 9
LCM(15120,15129) = ( 15120 × 15129) / 9
LCM(15120,15129) = 228750480 / 9
LCM(15120,15129) = 25416720

Least Common Multiple (LCM) of 15120 and 15129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15120 and 15129. First we will calculate the prime factors of 15120 and 15129.

Prime Factorization of 15120

Prime Factorization of 15129

Now multiplying the highest exponent prime factors to calculate the LCM of 15120 and 15129.

LCM(15120,15129) = 2⁴ × 3³ × 5¹ × 7¹ × 41²
LCM(15120,15129) = 25416720