What is the Least Common Multiple of 91299 and 91314?

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 91299 and 91314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91299 and 91314, than apply into the LCM equation.

GCF(91299,91314) = 3
LCM(91299,91314) = ( 91299 × 91314) / 3
LCM(91299,91314) = 8336876886 / 3
LCM(91299,91314) = 2778958962

Least Common Multiple (LCM) of 91299 and 91314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91299 and 91314. First we will calculate the prime factors of 91299 and 91314.

Prime Factorization of 91299

Prime Factorization of 91314

Now multiplying the highest exponent prime factors to calculate the LCM of 91299 and 91314.

LCM(91299,91314) = 3³ × 13¹ × 2341¹ × 2¹ × 19¹ × 89¹
LCM(91299,91314) = 2778958962