What is the Least Common Multiple of 90402 and 90414?

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 90414 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 90414, than apply into the LCM equation.

GCF(90402,90414) = 6
LCM(90402,90414) = ( 90402 × 90414) / 6
LCM(90402,90414) = 8173606428 / 6
LCM(90402,90414) = 1362267738

Least Common Multiple (LCM) of 90402 and 90414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90402 and 90414. First we will calculate the prime factors of 90402 and 90414.

Prime Factorization of 90402

Prime Factorization of 90414

Now multiplying the highest exponent prime factors to calculate the LCM of 90402 and 90414.

LCM(90402,90414) = 2¹ × 3² × 13¹ × 19¹ × 61¹ × 5023¹
LCM(90402,90414) = 1362267738