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What is the Least Common Multiple of 47667 and 47686?

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 47667 and 47686 is 2273048562.

LCM(47667,47686) = 2273048562

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Least Common Multiple of 47667 and 47686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47667 and 47686, than apply into the LCM equation.

GCF(47667,47686) = 1
LCM(47667,47686) = ( 47667 × 47686) / 1
LCM(47667,47686) = 2273048562 / 1
LCM(47667,47686) = 2273048562

Least Common Multiple (LCM) of 47667 and 47686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47667 and 47686. First we will calculate the prime factors of 47667 and 47686.

Prime Factorization of 47667

Prime factors of 47667 are 3, 15889. Prime factorization of 47667 in exponential form is:

47667 = 31 × 158891

Prime Factorization of 47686

Prime factors of 47686 are 2, 113, 211. Prime factorization of 47686 in exponential form is:

47686 = 21 × 1131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 47667 and 47686.

LCM(47667,47686) = 31 × 158891 × 21 × 1131 × 2111
LCM(47667,47686) = 2273048562