What is the Least Common Multiple of 7592 and 7612?

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 7592 and 7612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7592 and 7612, than apply into the LCM equation.

GCF(7592,7612) = 4
LCM(7592,7612) = ( 7592 × 7612) / 4
LCM(7592,7612) = 57790304 / 4
LCM(7592,7612) = 14447576

Least Common Multiple (LCM) of 7592 and 7612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7592 and 7612. First we will calculate the prime factors of 7592 and 7612.

Prime Factorization of 7592

Prime Factorization of 7612

Now multiplying the highest exponent prime factors to calculate the LCM of 7592 and 7612.

LCM(7592,7612) = 2³ × 13¹ × 73¹ × 11¹ × 173¹
LCM(7592,7612) = 14447576