What is the Least Common Multiple of 92509 and 92513?

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 92509 and 92513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92509 and 92513, than apply into the LCM equation.

GCF(92509,92513) = 1
LCM(92509,92513) = ( 92509 × 92513) / 1
LCM(92509,92513) = 8558285117 / 1
LCM(92509,92513) = 8558285117

Least Common Multiple (LCM) of 92509 and 92513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92509 and 92513. First we will calculate the prime factors of 92509 and 92513.

Prime Factorization of 92509

Prime Factorization of 92513

Now multiplying the highest exponent prime factors to calculate the LCM of 92509 and 92513.

LCM(92509,92513) = 79¹ × 1171¹ × 71¹ × 1303¹
LCM(92509,92513) = 8558285117