GCF and LCM Calculator Logo

What is the Least Common Multiple of 29607 and 29616?

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 29607 and 29616 is 292280304.

LCM(29607,29616) = 292280304

LCM Calculator and
and

Least Common Multiple of 29607 and 29616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29607 and 29616, than apply into the LCM equation.

GCF(29607,29616) = 3
LCM(29607,29616) = ( 29607 × 29616) / 3
LCM(29607,29616) = 876840912 / 3
LCM(29607,29616) = 292280304

Least Common Multiple (LCM) of 29607 and 29616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29607 and 29616. First we will calculate the prime factors of 29607 and 29616.

Prime Factorization of 29607

Prime factors of 29607 are 3, 71, 139. Prime factorization of 29607 in exponential form is:

29607 = 31 × 711 × 1391

Prime Factorization of 29616

Prime factors of 29616 are 2, 3, 617. Prime factorization of 29616 in exponential form is:

29616 = 24 × 31 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 29607 and 29616.

LCM(29607,29616) = 31 × 711 × 1391 × 24 × 6171
LCM(29607,29616) = 292280304