What is the Least Common Multiple of 92480 and 92485?

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 92485 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 92485, than apply into the LCM equation.

GCF(92480,92485) = 5
LCM(92480,92485) = ( 92480 × 92485) / 5
LCM(92480,92485) = 8553012800 / 5
LCM(92480,92485) = 1710602560

Least Common Multiple (LCM) of 92480 and 92485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92480 and 92485. First we will calculate the prime factors of 92480 and 92485.

Prime Factorization of 92480

Prime Factorization of 92485

Now multiplying the highest exponent prime factors to calculate the LCM of 92480 and 92485.

LCM(92480,92485) = 2⁶ × 5¹ × 17² × 53¹ × 349¹
LCM(92480,92485) = 1710602560