What is the Least Common Multiple of 91364 and 91382?

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 91364 and 91382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91364 and 91382, than apply into the LCM equation.

GCF(91364,91382) = 2
LCM(91364,91382) = ( 91364 × 91382) / 2
LCM(91364,91382) = 8349025048 / 2
LCM(91364,91382) = 4174512524

Least Common Multiple (LCM) of 91364 and 91382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91364 and 91382. First we will calculate the prime factors of 91364 and 91382.

Prime Factorization of 91364

Prime Factorization of 91382

Now multiplying the highest exponent prime factors to calculate the LCM of 91364 and 91382.

LCM(91364,91382) = 2² × 7¹ × 13¹ × 251¹ × 45691¹
LCM(91364,91382) = 4174512524