What is the Least Common Multiple of 56490 and 56504?

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 56490 and 56504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56490 and 56504, than apply into the LCM equation.

GCF(56490,56504) = 14
LCM(56490,56504) = ( 56490 × 56504) / 14
LCM(56490,56504) = 3191910960 / 14
LCM(56490,56504) = 227993640

Least Common Multiple (LCM) of 56490 and 56504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56490 and 56504. First we will calculate the prime factors of 56490 and 56504.

Prime Factorization of 56490

Prime Factorization of 56504

Now multiplying the highest exponent prime factors to calculate the LCM of 56490 and 56504.

LCM(56490,56504) = 2³ × 3¹ × 5¹ × 7¹ × 269¹ × 1009¹
LCM(56490,56504) = 227993640