What is the Least Common Multiple of 90402 and 90418?

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 90402 and 90418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90402 and 90418, than apply into the LCM equation.

GCF(90402,90418) = 2
LCM(90402,90418) = ( 90402 × 90418) / 2
LCM(90402,90418) = 8173968036 / 2
LCM(90402,90418) = 4086984018

Least Common Multiple (LCM) of 90402 and 90418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90402 and 90418. First we will calculate the prime factors of 90402 and 90418.

Prime Factorization of 90402

Prime Factorization of 90418

Now multiplying the highest exponent prime factors to calculate the LCM of 90402 and 90418.

LCM(90402,90418) = 2¹ × 3¹ × 13¹ × 19¹ × 61¹ × 53¹ × 853¹
LCM(90402,90418) = 4086984018