What is the Least Common Multiple of 91249 and 91260?

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 91249 and 91260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91249 and 91260, than apply into the LCM equation.

GCF(91249,91260) = 1
LCM(91249,91260) = ( 91249 × 91260) / 1
LCM(91249,91260) = 8327383740 / 1
LCM(91249,91260) = 8327383740

Least Common Multiple (LCM) of 91249 and 91260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91249 and 91260. First we will calculate the prime factors of 91249 and 91260.

Prime Factorization of 91249

Prime Factorization of 91260

Now multiplying the highest exponent prime factors to calculate the LCM of 91249 and 91260.

LCM(91249,91260) = 91249¹ × 2² × 3³ × 5¹ × 13²
LCM(91249,91260) = 8327383740