What is the Least Common Multiple of 56352 and 56371?

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 56352 and 56371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56352 and 56371, than apply into the LCM equation.

GCF(56352,56371) = 1
LCM(56352,56371) = ( 56352 × 56371) / 1
LCM(56352,56371) = 3176618592 / 1
LCM(56352,56371) = 3176618592

Least Common Multiple (LCM) of 56352 and 56371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56352 and 56371. First we will calculate the prime factors of 56352 and 56371.

Prime Factorization of 56352

Prime Factorization of 56371

Now multiplying the highest exponent prime factors to calculate the LCM of 56352 and 56371.

LCM(56352,56371) = 2⁵ × 3¹ × 587¹ × 7¹ × 8053¹
LCM(56352,56371) = 3176618592