What is the Least Common Multiple of 96960 and 96965?

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 96965 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 96965, than apply into the LCM equation.

GCF(96960,96965) = 5
LCM(96960,96965) = ( 96960 × 96965) / 5
LCM(96960,96965) = 9401726400 / 5
LCM(96960,96965) = 1880345280

Least Common Multiple (LCM) of 96960 and 96965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96960 and 96965. First we will calculate the prime factors of 96960 and 96965.

Prime Factorization of 96960

Prime Factorization of 96965

Now multiplying the highest exponent prime factors to calculate the LCM of 96960 and 96965.

LCM(96960,96965) = 2⁶ × 3¹ × 5¹ × 101¹ × 11¹ × 41¹ × 43¹
LCM(96960,96965) = 1880345280