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What is the Least Common Multiple of 12202 and 12210?

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 12202 and 12210 is 74493210.

LCM(12202,12210) = 74493210

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Least Common Multiple of 12202 and 12210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12202 and 12210, than apply into the LCM equation.

GCF(12202,12210) = 2
LCM(12202,12210) = ( 12202 × 12210) / 2
LCM(12202,12210) = 148986420 / 2
LCM(12202,12210) = 74493210

Least Common Multiple (LCM) of 12202 and 12210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12202 and 12210. First we will calculate the prime factors of 12202 and 12210.

Prime Factorization of 12202

Prime factors of 12202 are 2, 6101. Prime factorization of 12202 in exponential form is:

12202 = 21 × 61011

Prime Factorization of 12210

Prime factors of 12210 are 2, 3, 5, 11, 37. Prime factorization of 12210 in exponential form is:

12210 = 21 × 31 × 51 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12202 and 12210.

LCM(12202,12210) = 21 × 61011 × 31 × 51 × 111 × 371
LCM(12202,12210) = 74493210