What is the Least Common Multiple of 96920 and 96938?

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 96920 and 96938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96920 and 96938, than apply into the LCM equation.

GCF(96920,96938) = 2
LCM(96920,96938) = ( 96920 × 96938) / 2
LCM(96920,96938) = 9395230960 / 2
LCM(96920,96938) = 4697615480

Least Common Multiple (LCM) of 96920 and 96938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96920 and 96938. First we will calculate the prime factors of 96920 and 96938.

Prime Factorization of 96920

Prime Factorization of 96938

Now multiplying the highest exponent prime factors to calculate the LCM of 96920 and 96938.

LCM(96920,96938) = 2³ × 5¹ × 2423¹ × 19¹ × 2551¹
LCM(96920,96938) = 4697615480