What is the Least Common Multiple of 2540 and 2546?

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 2546 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 2546, than apply into the LCM equation.

GCF(2540,2546) = 2
LCM(2540,2546) = ( 2540 × 2546) / 2
LCM(2540,2546) = 6466840 / 2
LCM(2540,2546) = 3233420

Least Common Multiple (LCM) of 2540 and 2546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2540 and 2546. First we will calculate the prime factors of 2540 and 2546.

Prime Factorization of 2540

Prime Factorization of 2546

Now multiplying the highest exponent prime factors to calculate the LCM of 2540 and 2546.

LCM(2540,2546) = 2² × 5¹ × 127¹ × 19¹ × 67¹
LCM(2540,2546) = 3233420