What is the Least Common Multiple of 96609 and 96615?

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 96609 and 96615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96609 and 96615, than apply into the LCM equation.

GCF(96609,96615) = 3
LCM(96609,96615) = ( 96609 × 96615) / 3
LCM(96609,96615) = 9333878535 / 3
LCM(96609,96615) = 3111292845

Least Common Multiple (LCM) of 96609 and 96615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96609 and 96615. First we will calculate the prime factors of 96609 and 96615.

Prime Factorization of 96609

Prime Factorization of 96615

Now multiplying the highest exponent prime factors to calculate the LCM of 96609 and 96615.

LCM(96609,96615) = 3² × 32203¹ × 5¹ × 19¹ × 113¹
LCM(96609,96615) = 3111292845