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What is the Least Common Multiple of 6240 and 6244?

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 6240 and 6244 is 9740640.

LCM(6240,6244) = 9740640

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Least Common Multiple of 6240 and 6244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6240 and 6244, than apply into the LCM equation.

GCF(6240,6244) = 4
LCM(6240,6244) = ( 6240 × 6244) / 4
LCM(6240,6244) = 38962560 / 4
LCM(6240,6244) = 9740640

Least Common Multiple (LCM) of 6240 and 6244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6240 and 6244. First we will calculate the prime factors of 6240 and 6244.

Prime Factorization of 6240

Prime factors of 6240 are 2, 3, 5, 13. Prime factorization of 6240 in exponential form is:

6240 = 25 × 31 × 51 × 131

Prime Factorization of 6244

Prime factors of 6244 are 2, 7, 223. Prime factorization of 6244 in exponential form is:

6244 = 22 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 6240 and 6244.

LCM(6240,6244) = 25 × 31 × 51 × 131 × 71 × 2231
LCM(6240,6244) = 9740640