What is the Least Common Multiple of 56504 and 56522?

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 56504 and 56522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56504 and 56522, than apply into the LCM equation.

GCF(56504,56522) = 2
LCM(56504,56522) = ( 56504 × 56522) / 2
LCM(56504,56522) = 3193719088 / 2
LCM(56504,56522) = 1596859544

Least Common Multiple (LCM) of 56504 and 56522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56504 and 56522. First we will calculate the prime factors of 56504 and 56522.

Prime Factorization of 56504

Prime Factorization of 56522

Now multiplying the highest exponent prime factors to calculate the LCM of 56504 and 56522.

LCM(56504,56522) = 2³ × 7¹ × 1009¹ × 59¹ × 479¹
LCM(56504,56522) = 1596859544