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What is the Least Common Multiple of 53247 and 53264?

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 53247 and 53264 is 2836148208.

LCM(53247,53264) = 2836148208

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Least Common Multiple of 53247 and 53264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53247 and 53264, than apply into the LCM equation.

GCF(53247,53264) = 1
LCM(53247,53264) = ( 53247 × 53264) / 1
LCM(53247,53264) = 2836148208 / 1
LCM(53247,53264) = 2836148208

Least Common Multiple (LCM) of 53247 and 53264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53247 and 53264. First we will calculate the prime factors of 53247 and 53264.

Prime Factorization of 53247

Prime factors of 53247 are 3, 17749. Prime factorization of 53247 in exponential form is:

53247 = 31 × 177491

Prime Factorization of 53264

Prime factors of 53264 are 2, 3329. Prime factorization of 53264 in exponential form is:

53264 = 24 × 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 53247 and 53264.

LCM(53247,53264) = 31 × 177491 × 24 × 33291
LCM(53247,53264) = 2836148208