What is the Least Common Multiple of 90990 and 91008?

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 90990 and 91008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90990 and 91008, than apply into the LCM equation.

GCF(90990,91008) = 18
LCM(90990,91008) = ( 90990 × 91008) / 18
LCM(90990,91008) = 8280817920 / 18
LCM(90990,91008) = 460045440

Least Common Multiple (LCM) of 90990 and 91008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90990 and 91008. First we will calculate the prime factors of 90990 and 91008.

Prime Factorization of 90990

Prime Factorization of 91008

Now multiplying the highest exponent prime factors to calculate the LCM of 90990 and 91008.

LCM(90990,91008) = 2⁷ × 3³ × 5¹ × 337¹ × 79¹
LCM(90990,91008) = 460045440