What is the Least Common Multiple of 90156 and 90163?

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 90156 and 90163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90156 and 90163, than apply into the LCM equation.

GCF(90156,90163) = 1
LCM(90156,90163) = ( 90156 × 90163) / 1
LCM(90156,90163) = 8128735428 / 1
LCM(90156,90163) = 8128735428

Least Common Multiple (LCM) of 90156 and 90163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90156 and 90163. First we will calculate the prime factors of 90156 and 90163.

Prime Factorization of 90156

Prime Factorization of 90163

Now multiplying the highest exponent prime factors to calculate the LCM of 90156 and 90163.

LCM(90156,90163) = 2² × 3¹ × 11¹ × 683¹ × 90163¹
LCM(90156,90163) = 8128735428