What is the Least Common Multiple of 56100 and 56112?

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 56100 and 56112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56100 and 56112, than apply into the LCM equation.

GCF(56100,56112) = 12
LCM(56100,56112) = ( 56100 × 56112) / 12
LCM(56100,56112) = 3147883200 / 12
LCM(56100,56112) = 262323600

Least Common Multiple (LCM) of 56100 and 56112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56100 and 56112. First we will calculate the prime factors of 56100 and 56112.

Prime Factorization of 56100

Prime Factorization of 56112

Now multiplying the highest exponent prime factors to calculate the LCM of 56100 and 56112.

LCM(56100,56112) = 2⁴ × 3¹ × 5² × 11¹ × 17¹ × 7¹ × 167¹
LCM(56100,56112) = 262323600