What is the Least Common Multiple of 56992 and 57007?

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 56992 and 57007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56992 and 57007, than apply into the LCM equation.

GCF(56992,57007) = 1
LCM(56992,57007) = ( 56992 × 57007) / 1
LCM(56992,57007) = 3248942944 / 1
LCM(56992,57007) = 3248942944

Least Common Multiple (LCM) of 56992 and 57007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56992 and 57007. First we will calculate the prime factors of 56992 and 57007.

Prime Factorization of 56992

Prime Factorization of 57007

Now multiplying the highest exponent prime factors to calculate the LCM of 56992 and 57007.

LCM(56992,57007) = 2⁵ × 13¹ × 137¹ × 109¹ × 523¹
LCM(56992,57007) = 3248942944