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What is the Least Common Multiple of 47537 and 47547?

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 47537 and 47547 is 2260241739.

LCM(47537,47547) = 2260241739

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Least Common Multiple of 47537 and 47547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47537 and 47547, than apply into the LCM equation.

GCF(47537,47547) = 1
LCM(47537,47547) = ( 47537 × 47547) / 1
LCM(47537,47547) = 2260241739 / 1
LCM(47537,47547) = 2260241739

Least Common Multiple (LCM) of 47537 and 47547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47537 and 47547. First we will calculate the prime factors of 47537 and 47547.

Prime Factorization of 47537

Prime factors of 47537 are 7, 6791. Prime factorization of 47537 in exponential form is:

47537 = 71 × 67911

Prime Factorization of 47547

Prime factors of 47547 are 3, 587. Prime factorization of 47547 in exponential form is:

47547 = 34 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 47537 and 47547.

LCM(47537,47547) = 71 × 67911 × 34 × 5871
LCM(47537,47547) = 2260241739