What is the Least Common Multiple of 96450 and 96465?

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 96450 and 96465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96450 and 96465, than apply into the LCM equation.

GCF(96450,96465) = 15
LCM(96450,96465) = ( 96450 × 96465) / 15
LCM(96450,96465) = 9304049250 / 15
LCM(96450,96465) = 620269950

Least Common Multiple (LCM) of 96450 and 96465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96450 and 96465. First we will calculate the prime factors of 96450 and 96465.

Prime Factorization of 96450

Prime Factorization of 96465

Now multiplying the highest exponent prime factors to calculate the LCM of 96450 and 96465.

LCM(96450,96465) = 2¹ × 3¹ × 5² × 643¹ × 59¹ × 109¹
LCM(96450,96465) = 620269950