What is the Least Common Multiple of 72646 and 72653?

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 72646 and 72653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72646 and 72653, than apply into the LCM equation.

GCF(72646,72653) = 7
LCM(72646,72653) = ( 72646 × 72653) / 7
LCM(72646,72653) = 5277949838 / 7
LCM(72646,72653) = 753992834

Least Common Multiple (LCM) of 72646 and 72653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72646 and 72653. First we will calculate the prime factors of 72646 and 72653.

Prime Factorization of 72646

Prime Factorization of 72653

Now multiplying the highest exponent prime factors to calculate the LCM of 72646 and 72653.

LCM(72646,72653) = 2¹ × 7¹ × 5189¹ × 97¹ × 107¹
LCM(72646,72653) = 753992834