GCF and LCM Calculator Logo

What is the Least Common Multiple of 5346 and 5352?

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 5346 and 5352 is 4768632.

LCM(5346,5352) = 4768632

LCM Calculator and
and

Least Common Multiple of 5346 and 5352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5346 and 5352, than apply into the LCM equation.

GCF(5346,5352) = 6
LCM(5346,5352) = ( 5346 × 5352) / 6
LCM(5346,5352) = 28611792 / 6
LCM(5346,5352) = 4768632

Least Common Multiple (LCM) of 5346 and 5352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5346 and 5352. First we will calculate the prime factors of 5346 and 5352.

Prime Factorization of 5346

Prime factors of 5346 are 2, 3, 11. Prime factorization of 5346 in exponential form is:

5346 = 21 × 35 × 111

Prime Factorization of 5352

Prime factors of 5352 are 2, 3, 223. Prime factorization of 5352 in exponential form is:

5352 = 23 × 31 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5346 and 5352.

LCM(5346,5352) = 23 × 35 × 111 × 2231
LCM(5346,5352) = 4768632