What is the Least Common Multiple of 91509 and 91513?

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 91509 and 91513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91509 and 91513, than apply into the LCM equation.

GCF(91509,91513) = 1
LCM(91509,91513) = ( 91509 × 91513) / 1
LCM(91509,91513) = 8374263117 / 1
LCM(91509,91513) = 8374263117

Least Common Multiple (LCM) of 91509 and 91513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91509 and 91513. First we will calculate the prime factors of 91509 and 91513.

Prime Factorization of 91509

Prime Factorization of 91513

Now multiplying the highest exponent prime factors to calculate the LCM of 91509 and 91513.

LCM(91509,91513) = 3¹ × 11¹ × 47¹ × 59¹ × 91513¹
LCM(91509,91513) = 8374263117