What is the Least Common Multiple of 91364 and 91376?

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 91376 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 91376, than apply into the LCM equation.

GCF(91364,91376) = 4
LCM(91364,91376) = ( 91364 × 91376) / 4
LCM(91364,91376) = 8348476864 / 4
LCM(91364,91376) = 2087119216

Least Common Multiple (LCM) of 91364 and 91376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91364 and 91376. First we will calculate the prime factors of 91364 and 91376.

Prime Factorization of 91364

Prime Factorization of 91376

Now multiplying the highest exponent prime factors to calculate the LCM of 91364 and 91376.

LCM(91364,91376) = 2⁴ × 7¹ × 13¹ × 251¹ × 5711¹
LCM(91364,91376) = 2087119216