What is the Least Common Multiple of 70728 and 70736?

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 70728 and 70736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70728 and 70736, than apply into the LCM equation.

GCF(70728,70736) = 8
LCM(70728,70736) = ( 70728 × 70736) / 8
LCM(70728,70736) = 5003015808 / 8
LCM(70728,70736) = 625376976

Least Common Multiple (LCM) of 70728 and 70736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70728 and 70736. First we will calculate the prime factors of 70728 and 70736.

Prime Factorization of 70728

Prime Factorization of 70736

Now multiplying the highest exponent prime factors to calculate the LCM of 70728 and 70736.

LCM(70728,70736) = 2⁴ × 3¹ × 7¹ × 421¹ × 4421¹
LCM(70728,70736) = 625376976