What is the Least Common Multiple of 56426 and 56443?

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 56426 and 56443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56426 and 56443, than apply into the LCM equation.

GCF(56426,56443) = 1
LCM(56426,56443) = ( 56426 × 56443) / 1
LCM(56426,56443) = 3184852718 / 1
LCM(56426,56443) = 3184852718

Least Common Multiple (LCM) of 56426 and 56443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56426 and 56443. First we will calculate the prime factors of 56426 and 56443.

Prime Factorization of 56426

Prime Factorization of 56443

Now multiplying the highest exponent prime factors to calculate the LCM of 56426 and 56443.

LCM(56426,56443) = 2¹ × 89¹ × 317¹ × 56443¹
LCM(56426,56443) = 3184852718