What is the Least Common Multiple of 96906 and 96920?

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 96906 and 96920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96906 and 96920, than apply into the LCM equation.

GCF(96906,96920) = 2
LCM(96906,96920) = ( 96906 × 96920) / 2
LCM(96906,96920) = 9392129520 / 2
LCM(96906,96920) = 4696064760

Least Common Multiple (LCM) of 96906 and 96920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96906 and 96920. First we will calculate the prime factors of 96906 and 96920.

Prime Factorization of 96906

Prime Factorization of 96920

Now multiplying the highest exponent prime factors to calculate the LCM of 96906 and 96920.

LCM(96906,96920) = 2³ × 3¹ × 31¹ × 521¹ × 5¹ × 2423¹
LCM(96906,96920) = 4696064760