What is the Least Common Multiple of 91749 and 91767?

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 91767 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 91767, than apply into the LCM equation.

GCF(91749,91767) = 3
LCM(91749,91767) = ( 91749 × 91767) / 3
LCM(91749,91767) = 8419530483 / 3
LCM(91749,91767) = 2806510161

Least Common Multiple (LCM) of 91749 and 91767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91749 and 91767. First we will calculate the prime factors of 91749 and 91767.

Prime Factorization of 91749

Prime Factorization of 91767

Now multiplying the highest exponent prime factors to calculate the LCM of 91749 and 91767.

LCM(91749,91767) = 3¹ × 7¹ × 17¹ × 257¹ × 13² × 181¹
LCM(91749,91767) = 2806510161