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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

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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