What is the Least Common Multiple of 90360 and 90366?

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 90360 and 90366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90360 and 90366, than apply into the LCM equation.

GCF(90360,90366) = 6
LCM(90360,90366) = ( 90360 × 90366) / 6
LCM(90360,90366) = 8165471760 / 6
LCM(90360,90366) = 1360911960

Least Common Multiple (LCM) of 90360 and 90366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90360 and 90366. First we will calculate the prime factors of 90360 and 90366.

Prime Factorization of 90360

Prime Factorization of 90366

Now multiplying the highest exponent prime factors to calculate the LCM of 90360 and 90366.

LCM(90360,90366) = 2³ × 3² × 5¹ × 251¹ × 15061¹
LCM(90360,90366) = 1360911960