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What is the Least Common Multiple of 63242 and 63247?

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 63242 and 63247 is 3999866774.

LCM(63242,63247) = 3999866774

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Least Common Multiple of 63242 and 63247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63242 and 63247, than apply into the LCM equation.

GCF(63242,63247) = 1
LCM(63242,63247) = ( 63242 × 63247) / 1
LCM(63242,63247) = 3999866774 / 1
LCM(63242,63247) = 3999866774

Least Common Multiple (LCM) of 63242 and 63247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63242 and 63247. First we will calculate the prime factors of 63242 and 63247.

Prime Factorization of 63242

Prime factors of 63242 are 2, 103, 307. Prime factorization of 63242 in exponential form is:

63242 = 21 × 1031 × 3071

Prime Factorization of 63247

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

63247 = 632471

Now multiplying the highest exponent prime factors to calculate the LCM of 63242 and 63247.

LCM(63242,63247) = 21 × 1031 × 3071 × 632471
LCM(63242,63247) = 3999866774