What is the Least Common Multiple of 90984 and 90996?

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 90984 and 90996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90984 and 90996, than apply into the LCM equation.

GCF(90984,90996) = 12
LCM(90984,90996) = ( 90984 × 90996) / 12
LCM(90984,90996) = 8279180064 / 12
LCM(90984,90996) = 689931672

Least Common Multiple (LCM) of 90984 and 90996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90984 and 90996. First we will calculate the prime factors of 90984 and 90996.

Prime Factorization of 90984

Prime Factorization of 90996

Now multiplying the highest exponent prime factors to calculate the LCM of 90984 and 90996.

LCM(90984,90996) = 2³ × 3¹ × 17¹ × 223¹ × 7583¹
LCM(90984,90996) = 689931672