GCF and LCM Calculator Logo

What is the Least Common Multiple of 29630 and 29635?

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 29630 and 29635 is 175617010.

LCM(29630,29635) = 175617010

LCM Calculator and
and

Least Common Multiple of 29630 and 29635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29630 and 29635, than apply into the LCM equation.

GCF(29630,29635) = 5
LCM(29630,29635) = ( 29630 × 29635) / 5
LCM(29630,29635) = 878085050 / 5
LCM(29630,29635) = 175617010

Least Common Multiple (LCM) of 29630 and 29635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29630 and 29635. First we will calculate the prime factors of 29630 and 29635.

Prime Factorization of 29630

Prime factors of 29630 are 2, 5, 2963. Prime factorization of 29630 in exponential form is:

29630 = 21 × 51 × 29631

Prime Factorization of 29635

Prime factors of 29635 are 5, 5927. Prime factorization of 29635 in exponential form is:

29635 = 51 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 29630 and 29635.

LCM(29630,29635) = 21 × 51 × 29631 × 59271
LCM(29630,29635) = 175617010