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What is the Least Common Multiple of 79863 and 79883?

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 79863 and 79883 is 6379696029.

LCM(79863,79883) = 6379696029

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Least Common Multiple of 79863 and 79883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79863 and 79883, than apply into the LCM equation.

GCF(79863,79883) = 1
LCM(79863,79883) = ( 79863 × 79883) / 1
LCM(79863,79883) = 6379696029 / 1
LCM(79863,79883) = 6379696029

Least Common Multiple (LCM) of 79863 and 79883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79863 and 79883. First we will calculate the prime factors of 79863 and 79883.

Prime Factorization of 79863

Prime factors of 79863 are 3, 7, 3803. Prime factorization of 79863 in exponential form is:

79863 = 31 × 71 × 38031

Prime Factorization of 79883

Prime factors of 79883 are 17, 37, 127. Prime factorization of 79883 in exponential form is:

79883 = 171 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 79863 and 79883.

LCM(79863,79883) = 31 × 71 × 38031 × 171 × 371 × 1271
LCM(79863,79883) = 6379696029