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What is the Least Common Multiple of 6210 and 6216?

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 6210 and 6216 is 6433560.

LCM(6210,6216) = 6433560

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Least Common Multiple of 6210 and 6216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6210 and 6216, than apply into the LCM equation.

GCF(6210,6216) = 6
LCM(6210,6216) = ( 6210 × 6216) / 6
LCM(6210,6216) = 38601360 / 6
LCM(6210,6216) = 6433560

Least Common Multiple (LCM) of 6210 and 6216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6210 and 6216. First we will calculate the prime factors of 6210 and 6216.

Prime Factorization of 6210

Prime factors of 6210 are 2, 3, 5, 23. Prime factorization of 6210 in exponential form is:

6210 = 21 × 33 × 51 × 231

Prime Factorization of 6216

Prime factors of 6216 are 2, 3, 7, 37. Prime factorization of 6216 in exponential form is:

6216 = 23 × 31 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 6210 and 6216.

LCM(6210,6216) = 23 × 33 × 51 × 231 × 71 × 371
LCM(6210,6216) = 6433560