What is the Least Common Multiple of 56258 and 56264?

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 56258 and 56264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56258 and 56264, than apply into the LCM equation.

GCF(56258,56264) = 2
LCM(56258,56264) = ( 56258 × 56264) / 2
LCM(56258,56264) = 3165300112 / 2
LCM(56258,56264) = 1582650056

Least Common Multiple (LCM) of 56258 and 56264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56258 and 56264. First we will calculate the prime factors of 56258 and 56264.

Prime Factorization of 56258

Prime Factorization of 56264

Now multiplying the highest exponent prime factors to calculate the LCM of 56258 and 56264.

LCM(56258,56264) = 2³ × 23¹ × 1223¹ × 13¹ × 541¹
LCM(56258,56264) = 1582650056