What is the Least Common Multiple of 56100 and 56110?

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 56110 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 56110, than apply into the LCM equation.

GCF(56100,56110) = 10
LCM(56100,56110) = ( 56100 × 56110) / 10
LCM(56100,56110) = 3147771000 / 10
LCM(56100,56110) = 314777100

Least Common Multiple (LCM) of 56100 and 56110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56100 and 56110. First we will calculate the prime factors of 56100 and 56110.

Prime Factorization of 56100

Prime Factorization of 56110

Now multiplying the highest exponent prime factors to calculate the LCM of 56100 and 56110.

LCM(56100,56110) = 2² × 3¹ × 5² × 11¹ × 17¹ × 31¹ × 181¹
LCM(56100,56110) = 314777100