What is the Least Common Multiple of 56672 and 56686?

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 56672 and 56686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56672 and 56686, than apply into the LCM equation.

GCF(56672,56686) = 14
LCM(56672,56686) = ( 56672 × 56686) / 14
LCM(56672,56686) = 3212508992 / 14
LCM(56672,56686) = 229464928

Least Common Multiple (LCM) of 56672 and 56686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56686. First we will calculate the prime factors of 56672 and 56686.

Prime Factorization of 56672

Prime Factorization of 56686

Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56686.

LCM(56672,56686) = 2⁵ × 7¹ × 11¹ × 23¹ × 4049¹
LCM(56672,56686) = 229464928