GCF and LCM Calculator Logo

What is the Least Common Multiple of 67614 and 67628?

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 67614 and 67628 is 2286299796.

LCM(67614,67628) = 2286299796

LCM Calculator and
and

Least Common Multiple of 67614 and 67628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67614 and 67628, than apply into the LCM equation.

GCF(67614,67628) = 2
LCM(67614,67628) = ( 67614 × 67628) / 2
LCM(67614,67628) = 4572599592 / 2
LCM(67614,67628) = 2286299796

Least Common Multiple (LCM) of 67614 and 67628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67614 and 67628. First we will calculate the prime factors of 67614 and 67628.

Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 21 × 31 × 591 × 1911

Prime Factorization of 67628

Prime factors of 67628 are 2, 11, 29, 53. Prime factorization of 67628 in exponential form is:

67628 = 22 × 111 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 67614 and 67628.

LCM(67614,67628) = 22 × 31 × 591 × 1911 × 111 × 291 × 531
LCM(67614,67628) = 2286299796