What is the Least Common Multiple of 56374 and 56390?

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 56374 and 56390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56374 and 56390, than apply into the LCM equation.

GCF(56374,56390) = 2
LCM(56374,56390) = ( 56374 × 56390) / 2
LCM(56374,56390) = 3178929860 / 2
LCM(56374,56390) = 1589464930

Least Common Multiple (LCM) of 56374 and 56390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56374 and 56390. First we will calculate the prime factors of 56374 and 56390.

Prime Factorization of 56374

Prime Factorization of 56390

Now multiplying the highest exponent prime factors to calculate the LCM of 56374 and 56390.

LCM(56374,56390) = 2¹ × 71¹ × 397¹ × 5¹ × 5639¹
LCM(56374,56390) = 1589464930