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What is the Least Common Multiple of 63247 and 63263?

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 63247 and 63263 is 4001194961.

LCM(63247,63263) = 4001194961

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Least Common Multiple of 63247 and 63263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63247 and 63263, than apply into the LCM equation.

GCF(63247,63263) = 1
LCM(63247,63263) = ( 63247 × 63263) / 1
LCM(63247,63263) = 4001194961 / 1
LCM(63247,63263) = 4001194961

Least Common Multiple (LCM) of 63247 and 63263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63247 and 63263. First we will calculate the prime factors of 63247 and 63263.

Prime Factorization of 63247

Prime factors of 63247 are 63247. Prime factorization of 63247 in exponential form is:

63247 = 632471

Prime Factorization of 63263

Prime factors of 63263 are 41, 1543. Prime factorization of 63263 in exponential form is:

63263 = 411 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 63247 and 63263.

LCM(63247,63263) = 632471 × 411 × 15431
LCM(63247,63263) = 4001194961