What is the Least Common Multiple of 90453 and 90462?

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 90453 and 90462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90453 and 90462, than apply into the LCM equation.

GCF(90453,90462) = 3
LCM(90453,90462) = ( 90453 × 90462) / 3
LCM(90453,90462) = 8182559286 / 3
LCM(90453,90462) = 2727519762

Least Common Multiple (LCM) of 90453 and 90462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90453 and 90462. First we will calculate the prime factors of 90453 and 90462.

Prime Factorization of 90453

Prime Factorization of 90462

Now multiplying the highest exponent prime factors to calculate the LCM of 90453 and 90462.

LCM(90453,90462) = 3¹ × 11¹ × 2741¹ × 2¹ × 15077¹
LCM(90453,90462) = 2727519762