What is the Least Common Multiple of 5120 and 5135?

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 5120 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5120 and 5135, than apply into the LCM equation.

GCF(5120,5135) = 5
LCM(5120,5135) = ( 5120 × 5135) / 5
LCM(5120,5135) = 26291200 / 5
LCM(5120,5135) = 5258240

Least Common Multiple (LCM) of 5120 and 5135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5135. First we will calculate the prime factors of 5120 and 5135.

Prime Factorization of 5120

Prime Factorization of 5135

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5135.

LCM(5120,5135) = 2¹⁰ × 5¹ × 13¹ × 79¹
LCM(5120,5135) = 5258240