What is the Least Common Multiple of 90660 and 90674?

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 90660 and 90674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90660 and 90674, than apply into the LCM equation.

GCF(90660,90674) = 2
LCM(90660,90674) = ( 90660 × 90674) / 2
LCM(90660,90674) = 8220504840 / 2
LCM(90660,90674) = 4110252420

Least Common Multiple (LCM) of 90660 and 90674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90660 and 90674. First we will calculate the prime factors of 90660 and 90674.

Prime Factorization of 90660

Prime Factorization of 90674

Now multiplying the highest exponent prime factors to calculate the LCM of 90660 and 90674.

LCM(90660,90674) = 2² × 3¹ × 5¹ × 1511¹ × 45337¹
LCM(90660,90674) = 4110252420