What is the Least Common Multiple of 8656 and 8663?
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 8656 and 8663 is 74986928.
LCM(8656,8663) = 74986928
Least Common Multiple of 8656 and 8663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8656 and 8663, than apply into the LCM equation.
GCF(8656,8663) = 1
LCM(8656,8663) = ( 8656 × 8663) / 1
LCM(8656,8663) = 74986928 / 1
LCM(8656,8663) = 74986928
Least Common Multiple (LCM) of 8656 and 8663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8656 and 8663. First we will calculate the prime factors of 8656 and 8663.
Prime Factorization of 8656
Prime factors of 8656 are 2, 541. Prime factorization of 8656 in exponential form is:
8656 = 24 × 5411
Prime Factorization of 8663
Prime factors of 8663 are 8663. Prime factorization of 8663 in exponential form is:
8663 = 86631
Now multiplying the highest exponent prime factors to calculate the LCM of 8656 and 8663.
LCM(8656,8663) = 24 × 5411 × 86631
LCM(8656,8663) = 74986928
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