What is the Least Common Multiple of 53112 and 53119?

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 53112 and 53119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53112 and 53119, than apply into the LCM equation.

GCF(53112,53119) = 1
LCM(53112,53119) = ( 53112 × 53119) / 1
LCM(53112,53119) = 2821256328 / 1
LCM(53112,53119) = 2821256328

Least Common Multiple (LCM) of 53112 and 53119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53112 and 53119. First we will calculate the prime factors of 53112 and 53119.

Prime Factorization of 53112

Prime Factorization of 53119

Now multiplying the highest exponent prime factors to calculate the LCM of 53112 and 53119.

LCM(53112,53119) = 2³ × 3¹ × 2213¹ × 11² × 439¹
LCM(53112,53119) = 2821256328