What is the Least Common Multiple of 92480 and 92497?

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 92480 and 92497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92480 and 92497, than apply into the LCM equation.

GCF(92480,92497) = 17
LCM(92480,92497) = ( 92480 × 92497) / 17
LCM(92480,92497) = 8554122560 / 17
LCM(92480,92497) = 503183680

Least Common Multiple (LCM) of 92480 and 92497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92480 and 92497. First we will calculate the prime factors of 92480 and 92497.

Prime Factorization of 92480

Prime Factorization of 92497

Now multiplying the highest exponent prime factors to calculate the LCM of 92480 and 92497.

LCM(92480,92497) = 2⁶ × 5¹ × 17² × 5441¹
LCM(92480,92497) = 503183680