What is the Least Common Multiple of 91257 and 91263?

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 91257 and 91263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91257 and 91263, than apply into the LCM equation.

GCF(91257,91263) = 3
LCM(91257,91263) = ( 91257 × 91263) / 3
LCM(91257,91263) = 8328387591 / 3
LCM(91257,91263) = 2776129197

Least Common Multiple (LCM) of 91257 and 91263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91257 and 91263. First we will calculate the prime factors of 91257 and 91263.

Prime Factorization of 91257

Prime Factorization of 91263

Now multiplying the highest exponent prime factors to calculate the LCM of 91257 and 91263.

LCM(91257,91263) = 3¹ × 19¹ × 1601¹ × 29¹ × 1049¹
LCM(91257,91263) = 2776129197