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What is the Least Common Multiple of 47627 and 47643?

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 47627 and 47643 is 2269093161.

LCM(47627,47643) = 2269093161

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Least Common Multiple of 47627 and 47643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47627 and 47643, than apply into the LCM equation.

GCF(47627,47643) = 1
LCM(47627,47643) = ( 47627 × 47643) / 1
LCM(47627,47643) = 2269093161 / 1
LCM(47627,47643) = 2269093161

Least Common Multiple (LCM) of 47627 and 47643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47627 and 47643. First we will calculate the prime factors of 47627 and 47643.

Prime Factorization of 47627

Prime factors of 47627 are 97, 491. Prime factorization of 47627 in exponential form is:

47627 = 971 × 4911

Prime Factorization of 47643

Prime factors of 47643 are 3, 15881. Prime factorization of 47643 in exponential form is:

47643 = 31 × 158811

Now multiplying the highest exponent prime factors to calculate the LCM of 47627 and 47643.

LCM(47627,47643) = 971 × 4911 × 31 × 158811
LCM(47627,47643) = 2269093161