GCF and LCM Calculator Logo

What is the Least Common Multiple of 12201 and 12221?

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 12201 and 12221 is 149108421.

LCM(12201,12221) = 149108421

LCM Calculator and
and

Least Common Multiple of 12201 and 12221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12201 and 12221, than apply into the LCM equation.

GCF(12201,12221) = 1
LCM(12201,12221) = ( 12201 × 12221) / 1
LCM(12201,12221) = 149108421 / 1
LCM(12201,12221) = 149108421

Least Common Multiple (LCM) of 12201 and 12221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12201 and 12221. First we will calculate the prime factors of 12201 and 12221.

Prime Factorization of 12201

Prime factors of 12201 are 3, 7, 83. Prime factorization of 12201 in exponential form is:

12201 = 31 × 72 × 831

Prime Factorization of 12221

Prime factors of 12221 are 11, 101. Prime factorization of 12221 in exponential form is:

12221 = 112 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 12201 and 12221.

LCM(12201,12221) = 31 × 72 × 831 × 112 × 1011
LCM(12201,12221) = 149108421