GCF and LCM Calculator Logo

What is the Least Common Multiple of 1342 and 1358?

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 1342 and 1358 is 911218.

LCM(1342,1358) = 911218

LCM Calculator and
and

Least Common Multiple of 1342 and 1358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1342 and 1358, than apply into the LCM equation.

GCF(1342,1358) = 2
LCM(1342,1358) = ( 1342 × 1358) / 2
LCM(1342,1358) = 1822436 / 2
LCM(1342,1358) = 911218

Least Common Multiple (LCM) of 1342 and 1358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1342 and 1358. First we will calculate the prime factors of 1342 and 1358.

Prime Factorization of 1342

Prime factors of 1342 are 2, 11, 61. Prime factorization of 1342 in exponential form is:

1342 = 21 × 111 × 611

Prime Factorization of 1358

Prime factors of 1358 are 2, 7, 97. Prime factorization of 1358 in exponential form is:

1358 = 21 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1342 and 1358.

LCM(1342,1358) = 21 × 111 × 611 × 71 × 971
LCM(1342,1358) = 911218