What is the Least Common Multiple of 90415 and 90434?

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 90434 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 90434, than apply into the LCM equation.

GCF(90415,90434) = 1
LCM(90415,90434) = ( 90415 × 90434) / 1
LCM(90415,90434) = 8176590110 / 1
LCM(90415,90434) = 8176590110

Least Common Multiple (LCM) of 90415 and 90434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90415 and 90434. First we will calculate the prime factors of 90415 and 90434.

Prime Factorization of 90415

Prime Factorization of 90434

Now multiplying the highest exponent prime factors to calculate the LCM of 90415 and 90434.

LCM(90415,90434) = 5¹ × 13² × 107¹ × 2¹ × 103¹ × 439¹
LCM(90415,90434) = 8176590110