What is the Least Common Multiple of 91671 and 91683?

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 91671 and 91683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91671 and 91683, than apply into the LCM equation.

GCF(91671,91683) = 3
LCM(91671,91683) = ( 91671 × 91683) / 3
LCM(91671,91683) = 8404672293 / 3
LCM(91671,91683) = 2801557431

Least Common Multiple (LCM) of 91671 and 91683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91671 and 91683. First we will calculate the prime factors of 91671 and 91683.

Prime Factorization of 91671

Prime Factorization of 91683

Now multiplying the highest exponent prime factors to calculate the LCM of 91671 and 91683.

LCM(91671,91683) = 3² × 30557¹ × 61¹ × 167¹
LCM(91671,91683) = 2801557431