What is the Least Common Multiple of 87647 and 87658?
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 87647 and 87658 is 7682960726.
LCM(87647,87658) = 7682960726
Least Common Multiple of 87647 and 87658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87647 and 87658, than apply into the LCM equation.
GCF(87647,87658) = 1
LCM(87647,87658) = ( 87647 × 87658) / 1
LCM(87647,87658) = 7682960726 / 1
LCM(87647,87658) = 7682960726
Least Common Multiple (LCM) of 87647 and 87658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87647 and 87658. First we will calculate the prime factors of 87647 and 87658.
Prime Factorization of 87647
Prime factors of 87647 are 7, 19, 659. Prime factorization of 87647 in exponential form is:
87647 = 71 × 191 × 6591
Prime Factorization of 87658
Prime factors of 87658 are 2, 41, 1069. Prime factorization of 87658 in exponential form is:
87658 = 21 × 411 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 87647 and 87658.
LCM(87647,87658) = 71 × 191 × 6591 × 21 × 411 × 10691
LCM(87647,87658) = 7682960726
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