What is the Least Common Multiple of 57360 and 57378?

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 57360 and 57378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57360 and 57378, than apply into the LCM equation.

GCF(57360,57378) = 6
LCM(57360,57378) = ( 57360 × 57378) / 6
LCM(57360,57378) = 3291202080 / 6
LCM(57360,57378) = 548533680

Least Common Multiple (LCM) of 57360 and 57378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57360 and 57378. First we will calculate the prime factors of 57360 and 57378.

Prime Factorization of 57360

Prime Factorization of 57378

Now multiplying the highest exponent prime factors to calculate the LCM of 57360 and 57378.

LCM(57360,57378) = 2⁴ × 3¹ × 5¹ × 239¹ × 73¹ × 131¹
LCM(57360,57378) = 548533680