What is the Least Common Multiple of 2549 and 2561?

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 2549 and 2561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2549 and 2561, than apply into the LCM equation.

GCF(2549,2561) = 1
LCM(2549,2561) = ( 2549 × 2561) / 1
LCM(2549,2561) = 6527989 / 1
LCM(2549,2561) = 6527989

Least Common Multiple (LCM) of 2549 and 2561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2549 and 2561. First we will calculate the prime factors of 2549 and 2561.

Prime Factorization of 2549

Prime Factorization of 2561

Now multiplying the highest exponent prime factors to calculate the LCM of 2549 and 2561.

LCM(2549,2561) = 2549¹ × 13¹ × 197¹
LCM(2549,2561) = 6527989