What is the Least Common Multiple of 72700 and 72718?

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 72700 and 72718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72700 and 72718, than apply into the LCM equation.

GCF(72700,72718) = 2
LCM(72700,72718) = ( 72700 × 72718) / 2
LCM(72700,72718) = 5286598600 / 2
LCM(72700,72718) = 2643299300

Least Common Multiple (LCM) of 72700 and 72718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72700 and 72718. First we will calculate the prime factors of 72700 and 72718.

Prime Factorization of 72700

Prime Factorization of 72718

Now multiplying the highest exponent prime factors to calculate the LCM of 72700 and 72718.

LCM(72700,72718) = 2² × 5² × 727¹ × 103¹ × 353¹
LCM(72700,72718) = 2643299300