What is the Least Common Multiple of 56112 and 56126?

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 56112 and 56126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56112 and 56126, than apply into the LCM equation.

GCF(56112,56126) = 14
LCM(56112,56126) = ( 56112 × 56126) / 14
LCM(56112,56126) = 3149342112 / 14
LCM(56112,56126) = 224953008

Least Common Multiple (LCM) of 56112 and 56126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56112 and 56126. First we will calculate the prime factors of 56112 and 56126.

Prime Factorization of 56112

Prime Factorization of 56126

Now multiplying the highest exponent prime factors to calculate the LCM of 56112 and 56126.

LCM(56112,56126) = 2⁴ × 3¹ × 7¹ × 167¹ × 19¹ × 211¹
LCM(56112,56126) = 224953008