GCF and LCM Calculator Logo

What is the Least Common Multiple of 52901 and 52909?

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 52901 and 52909 is 2798939009.

LCM(52901,52909) = 2798939009

LCM Calculator and
and

Least Common Multiple of 52901 and 52909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52901 and 52909, than apply into the LCM equation.

GCF(52901,52909) = 1
LCM(52901,52909) = ( 52901 × 52909) / 1
LCM(52901,52909) = 2798939009 / 1
LCM(52901,52909) = 2798939009

Least Common Multiple (LCM) of 52901 and 52909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52901 and 52909. First we will calculate the prime factors of 52901 and 52909.

Prime Factorization of 52901

Prime factors of 52901 are 52901. Prime factorization of 52901 in exponential form is:

52901 = 529011

Prime Factorization of 52909

Prime factors of 52909 are 157, 337. Prime factorization of 52909 in exponential form is:

52909 = 1571 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 52901 and 52909.

LCM(52901,52909) = 529011 × 1571 × 3371
LCM(52901,52909) = 2798939009