What is the Least Common Multiple of 2540 and 2560?

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 2540 and 2560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2540 and 2560, than apply into the LCM equation.

GCF(2540,2560) = 20
LCM(2540,2560) = ( 2540 × 2560) / 20
LCM(2540,2560) = 6502400 / 20
LCM(2540,2560) = 325120

Least Common Multiple (LCM) of 2540 and 2560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2540 and 2560. First we will calculate the prime factors of 2540 and 2560.

Prime Factorization of 2540

Prime Factorization of 2560

Now multiplying the highest exponent prime factors to calculate the LCM of 2540 and 2560.

LCM(2540,2560) = 2⁹ × 5¹ × 127¹
LCM(2540,2560) = 325120