GCF and LCM Calculator Logo

What is the Least Common Multiple of 29577 and 29590?

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 29577 and 29590 is 875183430.

LCM(29577,29590) = 875183430

LCM Calculator and
and

Least Common Multiple of 29577 and 29590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29577 and 29590, than apply into the LCM equation.

GCF(29577,29590) = 1
LCM(29577,29590) = ( 29577 × 29590) / 1
LCM(29577,29590) = 875183430 / 1
LCM(29577,29590) = 875183430

Least Common Multiple (LCM) of 29577 and 29590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29577 and 29590. First we will calculate the prime factors of 29577 and 29590.

Prime Factorization of 29577

Prime factors of 29577 are 3, 9859. Prime factorization of 29577 in exponential form is:

29577 = 31 × 98591

Prime Factorization of 29590

Prime factors of 29590 are 2, 5, 11, 269. Prime factorization of 29590 in exponential form is:

29590 = 21 × 51 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 29577 and 29590.

LCM(29577,29590) = 31 × 98591 × 21 × 51 × 111 × 2691
LCM(29577,29590) = 875183430