What is the Least Common Multiple of 96710 and 96724?

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 96724 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 96724, than apply into the LCM equation.

GCF(96710,96724) = 2
LCM(96710,96724) = ( 96710 × 96724) / 2
LCM(96710,96724) = 9354178040 / 2
LCM(96710,96724) = 4677089020

Least Common Multiple (LCM) of 96710 and 96724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96710 and 96724. First we will calculate the prime factors of 96710 and 96724.

Prime Factorization of 96710

Prime Factorization of 96724

Now multiplying the highest exponent prime factors to calculate the LCM of 96710 and 96724.

LCM(96710,96724) = 2² × 5¹ × 19¹ × 509¹ × 24181¹
LCM(96710,96724) = 4677089020