GCF and LCM Calculator Logo

What is the Least Common Multiple of 1356 and 1367?

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 1356 and 1367 is 1853652.

LCM(1356,1367) = 1853652

LCM Calculator and
and

Least Common Multiple of 1356 and 1367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1356 and 1367, than apply into the LCM equation.

GCF(1356,1367) = 1
LCM(1356,1367) = ( 1356 × 1367) / 1
LCM(1356,1367) = 1853652 / 1
LCM(1356,1367) = 1853652

Least Common Multiple (LCM) of 1356 and 1367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1356 and 1367. First we will calculate the prime factors of 1356 and 1367.

Prime Factorization of 1356

Prime factors of 1356 are 2, 3, 113. Prime factorization of 1356 in exponential form is:

1356 = 22 × 31 × 1131

Prime Factorization of 1367

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 1356 and 1367.

LCM(1356,1367) = 22 × 31 × 1131 × 13671
LCM(1356,1367) = 1853652