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What is the Least Common Multiple of 78663 and 78671?

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 78663 and 78671 is 6188496873.

LCM(78663,78671) = 6188496873

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Least Common Multiple of 78663 and 78671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78663 and 78671, than apply into the LCM equation.

GCF(78663,78671) = 1
LCM(78663,78671) = ( 78663 × 78671) / 1
LCM(78663,78671) = 6188496873 / 1
LCM(78663,78671) = 6188496873

Least Common Multiple (LCM) of 78663 and 78671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78663 and 78671. First we will calculate the prime factors of 78663 and 78671.

Prime Factorization of 78663

Prime factors of 78663 are 3, 13, 2017. Prime factorization of 78663 in exponential form is:

78663 = 31 × 131 × 20171

Prime Factorization of 78671

Prime factors of 78671 are 151, 521. Prime factorization of 78671 in exponential form is:

78671 = 1511 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 78663 and 78671.

LCM(78663,78671) = 31 × 131 × 20171 × 1511 × 5211
LCM(78663,78671) = 6188496873