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
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
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