What is the Least Common Multiple of 90976 and 90988?

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 90976 and 90988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90976 and 90988, than apply into the LCM equation.

GCF(90976,90988) = 4
LCM(90976,90988) = ( 90976 × 90988) / 4
LCM(90976,90988) = 8277724288 / 4
LCM(90976,90988) = 2069431072

Least Common Multiple (LCM) of 90976 and 90988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90976 and 90988. First we will calculate the prime factors of 90976 and 90988.

Prime Factorization of 90976

Prime Factorization of 90988

Now multiplying the highest exponent prime factors to calculate the LCM of 90976 and 90988.

LCM(90976,90988) = 2⁵ × 2843¹ × 23² × 43¹
LCM(90976,90988) = 2069431072