What is the Least Common Multiple of 56172 and 56180?

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 56172 and 56180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56172 and 56180, than apply into the LCM equation.

GCF(56172,56180) = 4
LCM(56172,56180) = ( 56172 × 56180) / 4
LCM(56172,56180) = 3155742960 / 4
LCM(56172,56180) = 788935740

Least Common Multiple (LCM) of 56172 and 56180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56172 and 56180. First we will calculate the prime factors of 56172 and 56180.

Prime Factorization of 56172

Prime Factorization of 56180

Now multiplying the highest exponent prime factors to calculate the LCM of 56172 and 56180.

LCM(56172,56180) = 2² × 3¹ × 31¹ × 151¹ × 5¹ × 53²
LCM(56172,56180) = 788935740