GCF and LCM Calculator Logo

What is the Least Common Multiple of 1196 and 1208?

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 1196 and 1208 is 361192.

LCM(1196,1208) = 361192

LCM Calculator and
and

Least Common Multiple of 1196 and 1208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1196 and 1208, than apply into the LCM equation.

GCF(1196,1208) = 4
LCM(1196,1208) = ( 1196 × 1208) / 4
LCM(1196,1208) = 1444768 / 4
LCM(1196,1208) = 361192

Least Common Multiple (LCM) of 1196 and 1208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1196 and 1208. First we will calculate the prime factors of 1196 and 1208.

Prime Factorization of 1196

Prime factors of 1196 are 2, 13, 23. Prime factorization of 1196 in exponential form is:

1196 = 22 × 131 × 231

Prime Factorization of 1208

Prime factors of 1208 are 2, 151. Prime factorization of 1208 in exponential form is:

1208 = 23 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1196 and 1208.

LCM(1196,1208) = 23 × 131 × 231 × 1511
LCM(1196,1208) = 361192