What is the Least Common Multiple of 74115 and 74120?

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 74115 and 74120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74115 and 74120, than apply into the LCM equation.

GCF(74115,74120) = 5
LCM(74115,74120) = ( 74115 × 74120) / 5
LCM(74115,74120) = 5493403800 / 5
LCM(74115,74120) = 1098680760

Least Common Multiple (LCM) of 74115 and 74120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74115 and 74120. First we will calculate the prime factors of 74115 and 74120.

Prime Factorization of 74115

Prime Factorization of 74120

Now multiplying the highest exponent prime factors to calculate the LCM of 74115 and 74120.

LCM(74115,74120) = 3⁵ × 5¹ × 61¹ × 2³ × 17¹ × 109¹
LCM(74115,74120) = 1098680760