What is the Least Common Multiple of 90920 and 90938?

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 90920 and 90938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90920 and 90938, than apply into the LCM equation.

GCF(90920,90938) = 2
LCM(90920,90938) = ( 90920 × 90938) / 2
LCM(90920,90938) = 8268082960 / 2
LCM(90920,90938) = 4134041480

Least Common Multiple (LCM) of 90920 and 90938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90920 and 90938. First we will calculate the prime factors of 90920 and 90938.

Prime Factorization of 90920

Prime Factorization of 90938

Now multiplying the highest exponent prime factors to calculate the LCM of 90920 and 90938.

LCM(90920,90938) = 2³ × 5¹ × 2273¹ × 41¹ × 1109¹
LCM(90920,90938) = 4134041480