What is the Least Common Multiple of 2562 and 2577?

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 2562 and 2577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2562 and 2577, than apply into the LCM equation.

GCF(2562,2577) = 3
LCM(2562,2577) = ( 2562 × 2577) / 3
LCM(2562,2577) = 6602274 / 3
LCM(2562,2577) = 2200758

Least Common Multiple (LCM) of 2562 and 2577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2562 and 2577. First we will calculate the prime factors of 2562 and 2577.

Prime Factorization of 2562

Prime Factorization of 2577

Now multiplying the highest exponent prime factors to calculate the LCM of 2562 and 2577.

LCM(2562,2577) = 2¹ × 3¹ × 7¹ × 61¹ × 859¹
LCM(2562,2577) = 2200758