What is the Least Common Multiple of 70374 and 70380?

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 70374 and 70380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70374 and 70380, than apply into the LCM equation.

GCF(70374,70380) = 6
LCM(70374,70380) = ( 70374 × 70380) / 6
LCM(70374,70380) = 4952922120 / 6
LCM(70374,70380) = 825487020

Least Common Multiple (LCM) of 70374 and 70380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70374 and 70380. First we will calculate the prime factors of 70374 and 70380.

Prime Factorization of 70374

Prime Factorization of 70380

Now multiplying the highest exponent prime factors to calculate the LCM of 70374 and 70380.

LCM(70374,70380) = 2² × 3² × 37¹ × 317¹ × 5¹ × 17¹ × 23¹
LCM(70374,70380) = 825487020