What is the Least Common Multiple of 2520 and 2540?

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 2520 and 2540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2520 and 2540, than apply into the LCM equation.

GCF(2520,2540) = 20
LCM(2520,2540) = ( 2520 × 2540) / 20
LCM(2520,2540) = 6400800 / 20
LCM(2520,2540) = 320040

Least Common Multiple (LCM) of 2520 and 2540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2520 and 2540. First we will calculate the prime factors of 2520 and 2540.

Prime Factorization of 2520

Prime Factorization of 2540

Now multiplying the highest exponent prime factors to calculate the LCM of 2520 and 2540.

LCM(2520,2540) = 2³ × 3² × 5¹ × 7¹ × 127¹
LCM(2520,2540) = 320040