What is the Least Common Multiple of 47663 and 47681?
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 47663 and 47681 is 2272619503.
LCM(47663,47681) = 2272619503
Least Common Multiple of 47663 and 47681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47663 and 47681, than apply into the LCM equation.
GCF(47663,47681) = 1
LCM(47663,47681) = ( 47663 × 47681) / 1
LCM(47663,47681) = 2272619503 / 1
LCM(47663,47681) = 2272619503
Least Common Multiple (LCM) of 47663 and 47681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47663 and 47681. First we will calculate the prime factors of 47663 and 47681.
Prime Factorization of 47663
Prime factors of 47663 are 7, 11, 619. Prime factorization of 47663 in exponential form is:
47663 = 71 × 111 × 6191
Prime Factorization of 47681
Prime factors of 47681 are 47681. Prime factorization of 47681 in exponential form is:
47681 = 476811
Now multiplying the highest exponent prime factors to calculate the LCM of 47663 and 47681.
LCM(47663,47681) = 71 × 111 × 6191 × 476811
LCM(47663,47681) = 2272619503
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