What is the Least Common Multiple of 96960 and 96972?

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 96960 and 96972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96960 and 96972, than apply into the LCM equation.

GCF(96960,96972) = 12
LCM(96960,96972) = ( 96960 × 96972) / 12
LCM(96960,96972) = 9402405120 / 12
LCM(96960,96972) = 783533760

Least Common Multiple (LCM) of 96960 and 96972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96960 and 96972. First we will calculate the prime factors of 96960 and 96972.

Prime Factorization of 96960

Prime Factorization of 96972

Now multiplying the highest exponent prime factors to calculate the LCM of 96960 and 96972.

LCM(96960,96972) = 2⁶ × 3¹ × 5¹ × 101¹ × 8081¹
LCM(96960,96972) = 783533760