GCF and LCM Calculator Logo

What is the Least Common Multiple of 11202 and 11208?

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 11202 and 11208 is 20925336.

LCM(11202,11208) = 20925336

LCM Calculator and
and

Least Common Multiple of 11202 and 11208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11202 and 11208, than apply into the LCM equation.

GCF(11202,11208) = 6
LCM(11202,11208) = ( 11202 × 11208) / 6
LCM(11202,11208) = 125552016 / 6
LCM(11202,11208) = 20925336

Least Common Multiple (LCM) of 11202 and 11208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11202 and 11208. First we will calculate the prime factors of 11202 and 11208.

Prime Factorization of 11202

Prime factors of 11202 are 2, 3, 1867. Prime factorization of 11202 in exponential form is:

11202 = 21 × 31 × 18671

Prime Factorization of 11208

Prime factors of 11208 are 2, 3, 467. Prime factorization of 11208 in exponential form is:

11208 = 23 × 31 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 11202 and 11208.

LCM(11202,11208) = 23 × 31 × 18671 × 4671
LCM(11202,11208) = 20925336