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What is the Least Common Multiple of 47037 and 47047?

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 47037 and 47047 is 2212949739.

LCM(47037,47047) = 2212949739

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Least Common Multiple of 47037 and 47047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47037 and 47047, than apply into the LCM equation.

GCF(47037,47047) = 1
LCM(47037,47047) = ( 47037 × 47047) / 1
LCM(47037,47047) = 2212949739 / 1
LCM(47037,47047) = 2212949739

Least Common Multiple (LCM) of 47037 and 47047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47037 and 47047. First we will calculate the prime factors of 47037 and 47047.

Prime Factorization of 47037

Prime factors of 47037 are 3, 15679. Prime factorization of 47037 in exponential form is:

47037 = 31 × 156791

Prime Factorization of 47047

Prime factors of 47047 are 7, 11, 13, 47. Prime factorization of 47047 in exponential form is:

47047 = 71 × 111 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 47037 and 47047.

LCM(47037,47047) = 31 × 156791 × 71 × 111 × 131 × 471
LCM(47037,47047) = 2212949739