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What is the Least Common Multiple of 47058 and 47063?

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 47058 and 47063 is 2214690654.

LCM(47058,47063) = 2214690654

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Least Common Multiple of 47058 and 47063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47058 and 47063, than apply into the LCM equation.

GCF(47058,47063) = 1
LCM(47058,47063) = ( 47058 × 47063) / 1
LCM(47058,47063) = 2214690654 / 1
LCM(47058,47063) = 2214690654

Least Common Multiple (LCM) of 47058 and 47063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47058 and 47063. First we will calculate the prime factors of 47058 and 47063.

Prime Factorization of 47058

Prime factors of 47058 are 2, 3, 11, 23, 31. Prime factorization of 47058 in exponential form is:

47058 = 21 × 31 × 111 × 231 × 311

Prime Factorization of 47063

Prime factors of 47063 are 19, 2477. Prime factorization of 47063 in exponential form is:

47063 = 191 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 47058 and 47063.

LCM(47058,47063) = 21 × 31 × 111 × 231 × 311 × 191 × 24771
LCM(47058,47063) = 2214690654