GCF and LCM Calculator Logo

What is the Least Common Multiple of 67598 and 67614?

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 67598 and 67614 is 2285285586.

LCM(67598,67614) = 2285285586

LCM Calculator and
and

Least Common Multiple of 67598 and 67614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67598 and 67614, than apply into the LCM equation.

GCF(67598,67614) = 2
LCM(67598,67614) = ( 67598 × 67614) / 2
LCM(67598,67614) = 4570571172 / 2
LCM(67598,67614) = 2285285586

Least Common Multiple (LCM) of 67598 and 67614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67598 and 67614. First we will calculate the prime factors of 67598 and 67614.

Prime Factorization of 67598

Prime factors of 67598 are 2, 73, 463. Prime factorization of 67598 in exponential form is:

67598 = 21 × 731 × 4631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67598 and 67614.

LCM(67598,67614) = 21 × 731 × 4631 × 31 × 591 × 1911
LCM(67598,67614) = 2285285586