What is the Least Common Multiple of 91749 and 91764?

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 91749 and 91764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91749 and 91764, than apply into the LCM equation.

GCF(91749,91764) = 3
LCM(91749,91764) = ( 91749 × 91764) / 3
LCM(91749,91764) = 8419255236 / 3
LCM(91749,91764) = 2806418412

Least Common Multiple (LCM) of 91749 and 91764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91749 and 91764. First we will calculate the prime factors of 91749 and 91764.

Prime Factorization of 91749

Prime Factorization of 91764

Now multiplying the highest exponent prime factors to calculate the LCM of 91749 and 91764.

LCM(91749,91764) = 3² × 7¹ × 17¹ × 257¹ × 2² × 2549¹
LCM(91749,91764) = 2806418412