What is the Least Common Multiple of 90415 and 90435?

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 90415 and 90435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90415 and 90435, than apply into the LCM equation.

GCF(90415,90435) = 5
LCM(90415,90435) = ( 90415 × 90435) / 5
LCM(90415,90435) = 8176680525 / 5
LCM(90415,90435) = 1635336105

Least Common Multiple (LCM) of 90415 and 90435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90415 and 90435. First we will calculate the prime factors of 90415 and 90435.

Prime Factorization of 90415

Prime Factorization of 90435

Now multiplying the highest exponent prime factors to calculate the LCM of 90415 and 90435.

LCM(90415,90435) = 5¹ × 13² × 107¹ × 3¹ × 6029¹
LCM(90415,90435) = 1635336105