What is the Least Common Multiple of 96320 and 96332?

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 96320 and 96332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96320 and 96332, than apply into the LCM equation.

GCF(96320,96332) = 4
LCM(96320,96332) = ( 96320 × 96332) / 4
LCM(96320,96332) = 9278698240 / 4
LCM(96320,96332) = 2319674560

Least Common Multiple (LCM) of 96320 and 96332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96320 and 96332. First we will calculate the prime factors of 96320 and 96332.

Prime Factorization of 96320

Prime Factorization of 96332

Now multiplying the highest exponent prime factors to calculate the LCM of 96320 and 96332.

LCM(96320,96332) = 2⁶ × 5¹ × 7¹ × 43¹ × 24083¹
LCM(96320,96332) = 2319674560