What is the Least Common Multiple of 9280 and 9295?

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 9280 and 9295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9280 and 9295, than apply into the LCM equation.

GCF(9280,9295) = 5
LCM(9280,9295) = ( 9280 × 9295) / 5
LCM(9280,9295) = 86257600 / 5
LCM(9280,9295) = 17251520

Least Common Multiple (LCM) of 9280 and 9295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9280 and 9295. First we will calculate the prime factors of 9280 and 9295.

Prime Factorization of 9280

Prime Factorization of 9295

Now multiplying the highest exponent prime factors to calculate the LCM of 9280 and 9295.

LCM(9280,9295) = 2⁶ × 5¹ × 29¹ × 11¹ × 13²
LCM(9280,9295) = 17251520