GCF and LCM Calculator Logo

What is the Least Common Multiple of 7199 and 7218?

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 7199 and 7218 is 51962382.

LCM(7199,7218) = 51962382

LCM Calculator and
and

Least Common Multiple of 7199 and 7218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7199 and 7218, than apply into the LCM equation.

GCF(7199,7218) = 1
LCM(7199,7218) = ( 7199 × 7218) / 1
LCM(7199,7218) = 51962382 / 1
LCM(7199,7218) = 51962382

Least Common Multiple (LCM) of 7199 and 7218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7199 and 7218. First we will calculate the prime factors of 7199 and 7218.

Prime Factorization of 7199

Prime factors of 7199 are 23, 313. Prime factorization of 7199 in exponential form is:

7199 = 231 × 3131

Prime Factorization of 7218

Prime factors of 7218 are 2, 3, 401. Prime factorization of 7218 in exponential form is:

7218 = 21 × 32 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 7199 and 7218.

LCM(7199,7218) = 231 × 3131 × 21 × 32 × 4011
LCM(7199,7218) = 51962382