What is the Least Common Multiple of 7600 and 7608?

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 7600 and 7608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7600 and 7608, than apply into the LCM equation.

GCF(7600,7608) = 8
LCM(7600,7608) = ( 7600 × 7608) / 8
LCM(7600,7608) = 57820800 / 8
LCM(7600,7608) = 7227600

Least Common Multiple (LCM) of 7600 and 7608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7608. First we will calculate the prime factors of 7600 and 7608.

Prime Factorization of 7600

Prime Factorization of 7608

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7608.

LCM(7600,7608) = 2⁴ × 5² × 19¹ × 3¹ × 317¹
LCM(7600,7608) = 7227600