What is the Least Common Multiple of 74120 and 74125?

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 74120 and 74125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74120 and 74125, than apply into the LCM equation.

GCF(74120,74125) = 5
LCM(74120,74125) = ( 74120 × 74125) / 5
LCM(74120,74125) = 5494145000 / 5
LCM(74120,74125) = 1098829000

Least Common Multiple (LCM) of 74120 and 74125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74120 and 74125. First we will calculate the prime factors of 74120 and 74125.

Prime Factorization of 74120

Prime Factorization of 74125

Now multiplying the highest exponent prime factors to calculate the LCM of 74120 and 74125.

LCM(74120,74125) = 2³ × 5³ × 17¹ × 109¹ × 593¹
LCM(74120,74125) = 1098829000