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What is the Least Common Multiple of 5235 and 5247?

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 5235 and 5247 is 9156015.

LCM(5235,5247) = 9156015

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Least Common Multiple of 5235 and 5247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5235 and 5247, than apply into the LCM equation.

GCF(5235,5247) = 3
LCM(5235,5247) = ( 5235 × 5247) / 3
LCM(5235,5247) = 27468045 / 3
LCM(5235,5247) = 9156015

Least Common Multiple (LCM) of 5235 and 5247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5247. First we will calculate the prime factors of 5235 and 5247.

Prime Factorization of 5235

Prime factors of 5235 are 3, 5, 349. Prime factorization of 5235 in exponential form is:

5235 = 31 × 51 × 3491

Prime Factorization of 5247

Prime factors of 5247 are 3, 11, 53. Prime factorization of 5247 in exponential form is:

5247 = 32 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5247.

LCM(5235,5247) = 32 × 51 × 3491 × 111 × 531
LCM(5235,5247) = 9156015