What is the Least Common Multiple of 47447 and 47467?
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 47447 and 47467 is 2252166749.
LCM(47447,47467) = 2252166749
Least Common Multiple of 47447 and 47467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47447 and 47467, than apply into the LCM equation.
GCF(47447,47467) = 1
LCM(47447,47467) = ( 47447 × 47467) / 1
LCM(47447,47467) = 2252166749 / 1
LCM(47447,47467) = 2252166749
Least Common Multiple (LCM) of 47447 and 47467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47447 and 47467. First we will calculate the prime factors of 47447 and 47467.
Prime Factorization of 47447
Prime factors of 47447 are 17, 2791. Prime factorization of 47447 in exponential form is:
47447 = 171 × 27911
Prime Factorization of 47467
Prime factors of 47467 are 7, 6781. Prime factorization of 47467 in exponential form is:
47467 = 71 × 67811
Now multiplying the highest exponent prime factors to calculate the LCM of 47447 and 47467.
LCM(47447,47467) = 171 × 27911 × 71 × 67811
LCM(47447,47467) = 2252166749
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