What is the Least Common Multiple of 90408 and 90415?

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 90408 and 90415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90408 and 90415, than apply into the LCM equation.

GCF(90408,90415) = 1
LCM(90408,90415) = ( 90408 × 90415) / 1
LCM(90408,90415) = 8174239320 / 1
LCM(90408,90415) = 8174239320

Least Common Multiple (LCM) of 90408 and 90415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90408 and 90415. First we will calculate the prime factors of 90408 and 90415.

Prime Factorization of 90408

Prime Factorization of 90415

Now multiplying the highest exponent prime factors to calculate the LCM of 90408 and 90415.

LCM(90408,90415) = 2³ × 3¹ × 3767¹ × 5¹ × 13² × 107¹
LCM(90408,90415) = 8174239320