What is the Least Common Multiple of 96720 and 96738?

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 96720 and 96738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96720 and 96738, than apply into the LCM equation.

GCF(96720,96738) = 6
LCM(96720,96738) = ( 96720 × 96738) / 6
LCM(96720,96738) = 9356499360 / 6
LCM(96720,96738) = 1559416560

Least Common Multiple (LCM) of 96720 and 96738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96720 and 96738. First we will calculate the prime factors of 96720 and 96738.

Prime Factorization of 96720

Prime Factorization of 96738

Now multiplying the highest exponent prime factors to calculate the LCM of 96720 and 96738.

LCM(96720,96738) = 2⁴ × 3¹ × 5¹ × 13¹ × 31¹ × 23¹ × 701¹
LCM(96720,96738) = 1559416560