What is the Least Common Multiple of 91300 and 91315?

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 91300 and 91315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91300 and 91315, than apply into the LCM equation.

GCF(91300,91315) = 5
LCM(91300,91315) = ( 91300 × 91315) / 5
LCM(91300,91315) = 8337059500 / 5
LCM(91300,91315) = 1667411900

Least Common Multiple (LCM) of 91300 and 91315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91300 and 91315. First we will calculate the prime factors of 91300 and 91315.

Prime Factorization of 91300

Prime Factorization of 91315

Now multiplying the highest exponent prime factors to calculate the LCM of 91300 and 91315.

LCM(91300,91315) = 2² × 5² × 11¹ × 83¹ × 7¹ × 2609¹
LCM(91300,91315) = 1667411900