What is the Least Common Multiple of 91329 and 91344?

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 91329 and 91344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91329 and 91344, than apply into the LCM equation.

GCF(91329,91344) = 3
LCM(91329,91344) = ( 91329 × 91344) / 3
LCM(91329,91344) = 8342356176 / 3
LCM(91329,91344) = 2780785392

Least Common Multiple (LCM) of 91329 and 91344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91329 and 91344. First we will calculate the prime factors of 91329 and 91344.

Prime Factorization of 91329

Prime Factorization of 91344

Now multiplying the highest exponent prime factors to calculate the LCM of 91329 and 91344.

LCM(91329,91344) = 3¹ × 7¹ × 4349¹ × 2⁴ × 11¹ × 173¹
LCM(91329,91344) = 2780785392