What is the Least Common Multiple of 91260 and 91274?

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 91260 and 91274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91260 and 91274, than apply into the LCM equation.

GCF(91260,91274) = 2
LCM(91260,91274) = ( 91260 × 91274) / 2
LCM(91260,91274) = 8329665240 / 2
LCM(91260,91274) = 4164832620

Least Common Multiple (LCM) of 91260 and 91274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91260 and 91274. First we will calculate the prime factors of 91260 and 91274.

Prime Factorization of 91260

Prime Factorization of 91274

Now multiplying the highest exponent prime factors to calculate the LCM of 91260 and 91274.

LCM(91260,91274) = 2² × 3³ × 5¹ × 13² × 47¹ × 971¹
LCM(91260,91274) = 4164832620