What is the Least Common Multiple of 96915 and 96933?

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 96915 and 96933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96915 and 96933, than apply into the LCM equation.

GCF(96915,96933) = 3
LCM(96915,96933) = ( 96915 × 96933) / 3
LCM(96915,96933) = 9394261695 / 3
LCM(96915,96933) = 3131420565

Least Common Multiple (LCM) of 96915 and 96933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96915 and 96933. First we will calculate the prime factors of 96915 and 96933.

Prime Factorization of 96915

Prime Factorization of 96933

Now multiplying the highest exponent prime factors to calculate the LCM of 96915 and 96933.

LCM(96915,96933) = 3¹ × 5¹ × 7¹ × 13¹ × 71¹ × 79¹ × 409¹
LCM(96915,96933) = 3131420565