GCF and LCM Calculator Logo

What is the Least Common Multiple of 29601 and 29615?

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 29601 and 29615 is 876633615.

LCM(29601,29615) = 876633615

LCM Calculator and
and

Least Common Multiple of 29601 and 29615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29601 and 29615, than apply into the LCM equation.

GCF(29601,29615) = 1
LCM(29601,29615) = ( 29601 × 29615) / 1
LCM(29601,29615) = 876633615 / 1
LCM(29601,29615) = 876633615

Least Common Multiple (LCM) of 29601 and 29615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29601 and 29615. First we will calculate the prime factors of 29601 and 29615.

Prime Factorization of 29601

Prime factors of 29601 are 3, 11, 13, 23. Prime factorization of 29601 in exponential form is:

29601 = 32 × 111 × 131 × 231

Prime Factorization of 29615

Prime factors of 29615 are 5, 5923. Prime factorization of 29615 in exponential form is:

29615 = 51 × 59231

Now multiplying the highest exponent prime factors to calculate the LCM of 29601 and 29615.

LCM(29601,29615) = 32 × 111 × 131 × 231 × 51 × 59231
LCM(29601,29615) = 876633615