What is the Least Common Multiple of 96710 and 96728?

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 96710 and 96728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96710 and 96728, than apply into the LCM equation.

GCF(96710,96728) = 2
LCM(96710,96728) = ( 96710 × 96728) / 2
LCM(96710,96728) = 9354564880 / 2
LCM(96710,96728) = 4677282440

Least Common Multiple (LCM) of 96710 and 96728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96710 and 96728. First we will calculate the prime factors of 96710 and 96728.

Prime Factorization of 96710

Prime Factorization of 96728

Now multiplying the highest exponent prime factors to calculate the LCM of 96710 and 96728.

LCM(96710,96728) = 2³ × 5¹ × 19¹ × 509¹ × 107¹ × 113¹
LCM(96710,96728) = 4677282440