What is the Least Common Multiple of 7600 and 7619?

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 7619 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 7619, than apply into the LCM equation.

GCF(7600,7619) = 19
LCM(7600,7619) = ( 7600 × 7619) / 19
LCM(7600,7619) = 57904400 / 19
LCM(7600,7619) = 3047600

Least Common Multiple (LCM) of 7600 and 7619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7619. First we will calculate the prime factors of 7600 and 7619.

Prime Factorization of 7600

Prime Factorization of 7619

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7619.

LCM(7600,7619) = 2⁴ × 5² × 19¹ × 401¹
LCM(7600,7619) = 3047600