GCF and LCM Calculator Logo

What is the Least Common Multiple of 29612 and 29632?

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 29612 and 29632 is 219365696.

LCM(29612,29632) = 219365696

LCM Calculator and
and

Least Common Multiple of 29612 and 29632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29612 and 29632, than apply into the LCM equation.

GCF(29612,29632) = 4
LCM(29612,29632) = ( 29612 × 29632) / 4
LCM(29612,29632) = 877462784 / 4
LCM(29612,29632) = 219365696

Least Common Multiple (LCM) of 29612 and 29632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29612 and 29632. First we will calculate the prime factors of 29612 and 29632.

Prime Factorization of 29612

Prime factors of 29612 are 2, 11, 673. Prime factorization of 29612 in exponential form is:

29612 = 22 × 111 × 6731

Prime Factorization of 29632

Prime factors of 29632 are 2, 463. Prime factorization of 29632 in exponential form is:

29632 = 26 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 29612 and 29632.

LCM(29612,29632) = 26 × 111 × 6731 × 4631
LCM(29612,29632) = 219365696