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What is the Least Common Multiple of 79844 and 79863?

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 79844 and 79863 is 6376581372.

LCM(79844,79863) = 6376581372

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Least Common Multiple of 79844 and 79863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79844 and 79863, than apply into the LCM equation.

GCF(79844,79863) = 1
LCM(79844,79863) = ( 79844 × 79863) / 1
LCM(79844,79863) = 6376581372 / 1
LCM(79844,79863) = 6376581372

Least Common Multiple (LCM) of 79844 and 79863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79844 and 79863. First we will calculate the prime factors of 79844 and 79863.

Prime Factorization of 79844

Prime factors of 79844 are 2, 19961. Prime factorization of 79844 in exponential form is:

79844 = 22 × 199611

Prime Factorization of 79863

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

79863 = 31 × 71 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 79844 and 79863.

LCM(79844,79863) = 22 × 199611 × 31 × 71 × 38031
LCM(79844,79863) = 6376581372