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What is the Least Common Multiple of 6200 and 6212?

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 6200 and 6212 is 9628600.

LCM(6200,6212) = 9628600

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Least Common Multiple of 6200 and 6212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6200 and 6212, than apply into the LCM equation.

GCF(6200,6212) = 4
LCM(6200,6212) = ( 6200 × 6212) / 4
LCM(6200,6212) = 38514400 / 4
LCM(6200,6212) = 9628600

Least Common Multiple (LCM) of 6200 and 6212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6212. First we will calculate the prime factors of 6200 and 6212.

Prime Factorization of 6200

Prime factors of 6200 are 2, 5, 31. Prime factorization of 6200 in exponential form is:

6200 = 23 × 52 × 311

Prime Factorization of 6212

Prime factors of 6212 are 2, 1553. Prime factorization of 6212 in exponential form is:

6212 = 22 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6212.

LCM(6200,6212) = 23 × 52 × 311 × 15531
LCM(6200,6212) = 9628600