What is the Least Common Multiple of 90156 and 90171?

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 90171 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 90171, than apply into the LCM equation.

GCF(90156,90171) = 3
LCM(90156,90171) = ( 90156 × 90171) / 3
LCM(90156,90171) = 8129456676 / 3
LCM(90156,90171) = 2709818892

Least Common Multiple (LCM) of 90156 and 90171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90156 and 90171. First we will calculate the prime factors of 90156 and 90171.

Prime Factorization of 90156

Prime Factorization of 90171

Now multiplying the highest exponent prime factors to calculate the LCM of 90156 and 90171.

LCM(90156,90171) = 2² × 3² × 11¹ × 683¹ × 43¹ × 233¹
LCM(90156,90171) = 2709818892