What is the Least Common Multiple of 91074 and 91089?

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 91074 and 91089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91074 and 91089, than apply into the LCM equation.

GCF(91074,91089) = 3
LCM(91074,91089) = ( 91074 × 91089) / 3
LCM(91074,91089) = 8295839586 / 3
LCM(91074,91089) = 2765279862

Least Common Multiple (LCM) of 91074 and 91089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91074 and 91089. First we will calculate the prime factors of 91074 and 91089.

Prime Factorization of 91074

Prime Factorization of 91089

Now multiplying the highest exponent prime factors to calculate the LCM of 91074 and 91089.

LCM(91074,91089) = 2¹ × 3² × 43¹ × 353¹ × 29¹ × 349¹
LCM(91074,91089) = 2765279862