What is the Least Common Multiple of 53772 and 53789?

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 53772 and 53789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53772 and 53789, than apply into the LCM equation.

GCF(53772,53789) = 1
LCM(53772,53789) = ( 53772 × 53789) / 1
LCM(53772,53789) = 2892342108 / 1
LCM(53772,53789) = 2892342108

Least Common Multiple (LCM) of 53772 and 53789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53772 and 53789. First we will calculate the prime factors of 53772 and 53789.

Prime Factorization of 53772

Prime Factorization of 53789

Now multiplying the highest exponent prime factors to calculate the LCM of 53772 and 53789.

LCM(53772,53789) = 2² × 3¹ × 4481¹ × 19² × 149¹
LCM(53772,53789) = 2892342108