GCF and LCM Calculator Logo

What is the Least Common Multiple of 3468 and 3476?

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 3468 and 3476 is 3013692.

LCM(3468,3476) = 3013692

LCM Calculator and
and

Least Common Multiple of 3468 and 3476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3468 and 3476, than apply into the LCM equation.

GCF(3468,3476) = 4
LCM(3468,3476) = ( 3468 × 3476) / 4
LCM(3468,3476) = 12054768 / 4
LCM(3468,3476) = 3013692

Least Common Multiple (LCM) of 3468 and 3476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3468 and 3476. First we will calculate the prime factors of 3468 and 3476.

Prime Factorization of 3468

Prime factors of 3468 are 2, 3, 17. Prime factorization of 3468 in exponential form is:

3468 = 22 × 31 × 172

Prime Factorization of 3476

Prime factors of 3476 are 2, 11, 79. Prime factorization of 3476 in exponential form is:

3476 = 22 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3468 and 3476.

LCM(3468,3476) = 22 × 31 × 172 × 111 × 791
LCM(3468,3476) = 3013692