What is the Least Common Multiple of 91278 and 91283?

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 91278 and 91283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91278 and 91283, than apply into the LCM equation.

GCF(91278,91283) = 1
LCM(91278,91283) = ( 91278 × 91283) / 1
LCM(91278,91283) = 8332129674 / 1
LCM(91278,91283) = 8332129674

Least Common Multiple (LCM) of 91278 and 91283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91278 and 91283. First we will calculate the prime factors of 91278 and 91283.

Prime Factorization of 91278

Prime Factorization of 91283

Now multiplying the highest exponent prime factors to calculate the LCM of 91278 and 91283.

LCM(91278,91283) = 2¹ × 3² × 11¹ × 461¹ × 91283¹
LCM(91278,91283) = 8332129674