GCF and LCM Calculator Logo

What is the Least Common Multiple of 12200 and 12218?

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 12200 and 12218 is 74529800.

LCM(12200,12218) = 74529800

LCM Calculator and
and

Least Common Multiple of 12200 and 12218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12200 and 12218, than apply into the LCM equation.

GCF(12200,12218) = 2
LCM(12200,12218) = ( 12200 × 12218) / 2
LCM(12200,12218) = 149059600 / 2
LCM(12200,12218) = 74529800

Least Common Multiple (LCM) of 12200 and 12218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12200 and 12218. First we will calculate the prime factors of 12200 and 12218.

Prime Factorization of 12200

Prime factors of 12200 are 2, 5, 61. Prime factorization of 12200 in exponential form is:

12200 = 23 × 52 × 611

Prime Factorization of 12218

Prime factors of 12218 are 2, 41, 149. Prime factorization of 12218 in exponential form is:

12218 = 21 × 411 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 12200 and 12218.

LCM(12200,12218) = 23 × 52 × 611 × 411 × 1491
LCM(12200,12218) = 74529800