What is the Least Common Multiple of 92496 and 92509?

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 92496 and 92509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92496 and 92509, than apply into the LCM equation.

GCF(92496,92509) = 1
LCM(92496,92509) = ( 92496 × 92509) / 1
LCM(92496,92509) = 8556712464 / 1
LCM(92496,92509) = 8556712464

Least Common Multiple (LCM) of 92496 and 92509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92496 and 92509. First we will calculate the prime factors of 92496 and 92509.

Prime Factorization of 92496

Prime Factorization of 92509

Now multiplying the highest exponent prime factors to calculate the LCM of 92496 and 92509.

LCM(92496,92509) = 2⁴ × 3¹ × 41¹ × 47¹ × 79¹ × 1171¹
LCM(92496,92509) = 8556712464