What is the Least Common Multiple of 91238 and 91257?

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 91238 and 91257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91238 and 91257, than apply into the LCM equation.

GCF(91238,91257) = 19
LCM(91238,91257) = ( 91238 × 91257) / 19
LCM(91238,91257) = 8326106166 / 19
LCM(91238,91257) = 438216114

Least Common Multiple (LCM) of 91238 and 91257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91238 and 91257. First we will calculate the prime factors of 91238 and 91257.

Prime Factorization of 91238

Prime Factorization of 91257

Now multiplying the highest exponent prime factors to calculate the LCM of 91238 and 91257.

LCM(91238,91257) = 2¹ × 7⁴ × 19¹ × 3¹ × 1601¹
LCM(91238,91257) = 438216114