What is the Least Common Multiple of 91314 and 91320?

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 91314 and 91320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91314 and 91320, than apply into the LCM equation.

GCF(91314,91320) = 6
LCM(91314,91320) = ( 91314 × 91320) / 6
LCM(91314,91320) = 8338794480 / 6
LCM(91314,91320) = 1389799080

Least Common Multiple (LCM) of 91314 and 91320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91314 and 91320. First we will calculate the prime factors of 91314 and 91320.

Prime Factorization of 91314

Prime Factorization of 91320

Now multiplying the highest exponent prime factors to calculate the LCM of 91314 and 91320.

LCM(91314,91320) = 2³ × 3³ × 19¹ × 89¹ × 5¹ × 761¹
LCM(91314,91320) = 1389799080