What is the Least Common Multiple of 7900 and 7919?

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 7900 and 7919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7900 and 7919, than apply into the LCM equation.

GCF(7900,7919) = 1
LCM(7900,7919) = ( 7900 × 7919) / 1
LCM(7900,7919) = 62560100 / 1
LCM(7900,7919) = 62560100

Least Common Multiple (LCM) of 7900 and 7919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7919. First we will calculate the prime factors of 7900 and 7919.

Prime Factorization of 7900

Prime Factorization of 7919

Now multiplying the highest exponent prime factors to calculate the LCM of 7900 and 7919.

LCM(7900,7919) = 2² × 5² × 79¹ × 7919¹
LCM(7900,7919) = 62560100