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What is the Least Common Multiple of 79003 and 79018?

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 79003 and 79018 is 6242659054.

LCM(79003,79018) = 6242659054

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Least Common Multiple of 79003 and 79018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79003 and 79018, than apply into the LCM equation.

GCF(79003,79018) = 1
LCM(79003,79018) = ( 79003 × 79018) / 1
LCM(79003,79018) = 6242659054 / 1
LCM(79003,79018) = 6242659054

Least Common Multiple (LCM) of 79003 and 79018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79003 and 79018. First we will calculate the prime factors of 79003 and 79018.

Prime Factorization of 79003

Prime factors of 79003 are 199, 397. Prime factorization of 79003 in exponential form is:

79003 = 1991 × 3971

Prime Factorization of 79018

Prime factors of 79018 are 2, 39509. Prime factorization of 79018 in exponential form is:

79018 = 21 × 395091

Now multiplying the highest exponent prime factors to calculate the LCM of 79003 and 79018.

LCM(79003,79018) = 1991 × 3971 × 21 × 395091
LCM(79003,79018) = 6242659054