What is the Least Common Multiple of 56144 and 56157?

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 56144 and 56157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56144 and 56157, than apply into the LCM equation.

GCF(56144,56157) = 1
LCM(56144,56157) = ( 56144 × 56157) / 1
LCM(56144,56157) = 3152878608 / 1
LCM(56144,56157) = 3152878608

Least Common Multiple (LCM) of 56144 and 56157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56144 and 56157. First we will calculate the prime factors of 56144 and 56157.

Prime Factorization of 56144

Prime Factorization of 56157

Now multiplying the highest exponent prime factors to calculate the LCM of 56144 and 56157.

LCM(56144,56157) = 2⁴ × 11² × 29¹ × 3¹ × 18719¹
LCM(56144,56157) = 3152878608