What is the Least Common Multiple of 9280 and 9293?

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 9293 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 9293, than apply into the LCM equation.

GCF(9280,9293) = 1
LCM(9280,9293) = ( 9280 × 9293) / 1
LCM(9280,9293) = 86239040 / 1
LCM(9280,9293) = 86239040

Least Common Multiple (LCM) of 9280 and 9293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9280 and 9293. First we will calculate the prime factors of 9280 and 9293.

Prime Factorization of 9280

Prime Factorization of 9293

Now multiplying the highest exponent prime factors to calculate the LCM of 9280 and 9293.

LCM(9280,9293) = 2⁶ × 5¹ × 29¹ × 9293¹
LCM(9280,9293) = 86239040