What is the Least Common Multiple of 91716 and 91725?

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 91716 and 91725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91716 and 91725, than apply into the LCM equation.

GCF(91716,91725) = 3
LCM(91716,91725) = ( 91716 × 91725) / 3
LCM(91716,91725) = 8412650100 / 3
LCM(91716,91725) = 2804216700

Least Common Multiple (LCM) of 91716 and 91725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91716 and 91725. First we will calculate the prime factors of 91716 and 91725.

Prime Factorization of 91716

Prime Factorization of 91725

Now multiplying the highest exponent prime factors to calculate the LCM of 91716 and 91725.

LCM(91716,91725) = 2² × 3¹ × 7643¹ × 5² × 1223¹
LCM(91716,91725) = 2804216700