GCF and LCM Calculator Logo

What is the Least Common Multiple of 29418 and 29435?

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 29418 and 29435 is 865918830.

LCM(29418,29435) = 865918830

LCM Calculator and
and

Least Common Multiple of 29418 and 29435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29418 and 29435, than apply into the LCM equation.

GCF(29418,29435) = 1
LCM(29418,29435) = ( 29418 × 29435) / 1
LCM(29418,29435) = 865918830 / 1
LCM(29418,29435) = 865918830

Least Common Multiple (LCM) of 29418 and 29435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29418 and 29435. First we will calculate the prime factors of 29418 and 29435.

Prime Factorization of 29418

Prime factors of 29418 are 2, 3, 4903. Prime factorization of 29418 in exponential form is:

29418 = 21 × 31 × 49031

Prime Factorization of 29435

Prime factors of 29435 are 5, 7, 29. Prime factorization of 29435 in exponential form is:

29435 = 51 × 71 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 29418 and 29435.

LCM(29418,29435) = 21 × 31 × 49031 × 51 × 71 × 292
LCM(29418,29435) = 865918830