GCF and LCM Calculator Logo

What is the Least Common Multiple of 29541 and 29550?

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 29541 and 29550 is 290978850.

LCM(29541,29550) = 290978850

LCM Calculator and
and

Least Common Multiple of 29541 and 29550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29541 and 29550, than apply into the LCM equation.

GCF(29541,29550) = 3
LCM(29541,29550) = ( 29541 × 29550) / 3
LCM(29541,29550) = 872936550 / 3
LCM(29541,29550) = 290978850

Least Common Multiple (LCM) of 29541 and 29550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29541 and 29550. First we will calculate the prime factors of 29541 and 29550.

Prime Factorization of 29541

Prime factors of 29541 are 3, 43, 229. Prime factorization of 29541 in exponential form is:

29541 = 31 × 431 × 2291

Prime Factorization of 29550

Prime factors of 29550 are 2, 3, 5, 197. Prime factorization of 29550 in exponential form is:

29550 = 21 × 31 × 52 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 29541 and 29550.

LCM(29541,29550) = 31 × 431 × 2291 × 21 × 52 × 1971
LCM(29541,29550) = 290978850