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What is the Least Common Multiple of 63259 and 63279?

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 63259 and 63279 is 4002966261.

LCM(63259,63279) = 4002966261

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Least Common Multiple of 63259 and 63279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63259 and 63279, than apply into the LCM equation.

GCF(63259,63279) = 1
LCM(63259,63279) = ( 63259 × 63279) / 1
LCM(63259,63279) = 4002966261 / 1
LCM(63259,63279) = 4002966261

Least Common Multiple (LCM) of 63259 and 63279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63259 and 63279. First we will calculate the prime factors of 63259 and 63279.

Prime Factorization of 63259

Prime factors of 63259 are 7, 1291. Prime factorization of 63259 in exponential form is:

63259 = 72 × 12911

Prime Factorization of 63279

Prime factors of 63279 are 3, 79, 89. Prime factorization of 63279 in exponential form is:

63279 = 32 × 791 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 63259 and 63279.

LCM(63259,63279) = 72 × 12911 × 32 × 791 × 891
LCM(63259,63279) = 4002966261