What is the Least Common Multiple of 91658 and 91676?

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 91658 and 91676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91658 and 91676, than apply into the LCM equation.

GCF(91658,91676) = 2
LCM(91658,91676) = ( 91658 × 91676) / 2
LCM(91658,91676) = 8402838808 / 2
LCM(91658,91676) = 4201419404

Least Common Multiple (LCM) of 91658 and 91676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91658 and 91676. First we will calculate the prime factors of 91658 and 91676.

Prime Factorization of 91658

Prime Factorization of 91676

Now multiplying the highest exponent prime factors to calculate the LCM of 91658 and 91676.

LCM(91658,91676) = 2² × 7¹ × 6547¹ × 13¹ × 41¹ × 43¹
LCM(91658,91676) = 4201419404