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What is the Least Common Multiple of 6200 and 6215?

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 6215 is 7706600.

LCM(6200,6215) = 7706600

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Least Common Multiple of 6200 and 6215 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 6215, than apply into the LCM equation.

GCF(6200,6215) = 5
LCM(6200,6215) = ( 6200 × 6215) / 5
LCM(6200,6215) = 38533000 / 5
LCM(6200,6215) = 7706600

Least Common Multiple (LCM) of 6200 and 6215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6215. First we will calculate the prime factors of 6200 and 6215.

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 6215

Prime factors of 6215 are 5, 11, 113. Prime factorization of 6215 in exponential form is:

6215 = 51 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6215.

LCM(6200,6215) = 23 × 52 × 311 × 111 × 1131
LCM(6200,6215) = 7706600