What is the Least Common Multiple of 96465 and 96475?

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 96465 and 96475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96465 and 96475, than apply into the LCM equation.

GCF(96465,96475) = 5
LCM(96465,96475) = ( 96465 × 96475) / 5
LCM(96465,96475) = 9306460875 / 5
LCM(96465,96475) = 1861292175

Least Common Multiple (LCM) of 96465 and 96475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96465 and 96475. First we will calculate the prime factors of 96465 and 96475.

Prime Factorization of 96465

Prime Factorization of 96475

Now multiplying the highest exponent prime factors to calculate the LCM of 96465 and 96475.

LCM(96465,96475) = 3¹ × 5² × 59¹ × 109¹ × 17¹ × 227¹
LCM(96465,96475) = 1861292175