What is the Least Common Multiple of 74375 and 74380?

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 74375 and 74380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74375 and 74380, than apply into the LCM equation.

GCF(74375,74380) = 5
LCM(74375,74380) = ( 74375 × 74380) / 5
LCM(74375,74380) = 5532012500 / 5
LCM(74375,74380) = 1106402500

Least Common Multiple (LCM) of 74375 and 74380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74375 and 74380. First we will calculate the prime factors of 74375 and 74380.

Prime Factorization of 74375

Prime Factorization of 74380

Now multiplying the highest exponent prime factors to calculate the LCM of 74375 and 74380.

LCM(74375,74380) = 5⁴ × 7¹ × 17¹ × 2² × 3719¹
LCM(74375,74380) = 1106402500