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What is the Least Common Multiple of 6202 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 6202 and 6212 is 19263412.

LCM(6202,6212) = 19263412

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Least Common Multiple of 6202 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 6202 and 6212, than apply into the LCM equation.

GCF(6202,6212) = 2
LCM(6202,6212) = ( 6202 × 6212) / 2
LCM(6202,6212) = 38526824 / 2
LCM(6202,6212) = 19263412

Least Common Multiple (LCM) of 6202 and 6212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6202 and 6212. First we will calculate the prime factors of 6202 and 6212.

Prime Factorization of 6202

Prime factors of 6202 are 2, 7, 443. Prime factorization of 6202 in exponential form is:

6202 = 21 × 71 × 4431

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 6202 and 6212.

LCM(6202,6212) = 22 × 71 × 4431 × 15531
LCM(6202,6212) = 19263412