GCF and LCM Calculator Logo

What is the Least Common Multiple of 2573 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 (LCM) of 2573 and 2577 is 6630621.

LCM(2573,2577) = 6630621

LCM Calculator and
and

Least Common Multiple of 2573 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 2573 and 2577, than apply into the LCM equation.

GCF(2573,2577) = 1
LCM(2573,2577) = ( 2573 × 2577) / 1
LCM(2573,2577) = 6630621 / 1
LCM(2573,2577) = 6630621

Least Common Multiple (LCM) of 2573 and 2577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2573 and 2577. First we will calculate the prime factors of 2573 and 2577.

Prime Factorization of 2573

Prime factors of 2573 are 31, 83. Prime factorization of 2573 in exponential form is:

2573 = 311 × 831

Prime Factorization of 2577

Prime factors of 2577 are 3, 859. Prime factorization of 2577 in exponential form is:

2577 = 31 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 2573 and 2577.

LCM(2573,2577) = 311 × 831 × 31 × 8591
LCM(2573,2577) = 6630621