GCF and LCM Calculator Logo

What is the Least Common Multiple of 3514 and 3534?

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 3514 and 3534 is 6209238.

LCM(3514,3534) = 6209238

LCM Calculator and
and

Least Common Multiple of 3514 and 3534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3514 and 3534, than apply into the LCM equation.

GCF(3514,3534) = 2
LCM(3514,3534) = ( 3514 × 3534) / 2
LCM(3514,3534) = 12418476 / 2
LCM(3514,3534) = 6209238

Least Common Multiple (LCM) of 3514 and 3534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3514 and 3534. First we will calculate the prime factors of 3514 and 3534.

Prime Factorization of 3514

Prime factors of 3514 are 2, 7, 251. Prime factorization of 3514 in exponential form is:

3514 = 21 × 71 × 2511

Prime Factorization of 3534

Prime factors of 3534 are 2, 3, 19, 31. Prime factorization of 3534 in exponential form is:

3534 = 21 × 31 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3514 and 3534.

LCM(3514,3534) = 21 × 71 × 2511 × 31 × 191 × 311
LCM(3514,3534) = 6209238