What is the Least Common Multiple of 88687 and 88691?
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 88687 and 88691 is 7865738717.
LCM(88687,88691) = 7865738717
Least Common Multiple of 88687 and 88691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88687 and 88691, than apply into the LCM equation.
GCF(88687,88691) = 1
LCM(88687,88691) = ( 88687 × 88691) / 1
LCM(88687,88691) = 7865738717 / 1
LCM(88687,88691) = 7865738717
Least Common Multiple (LCM) of 88687 and 88691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88687 and 88691. First we will calculate the prime factors of 88687 and 88691.
Prime Factorization of 88687
Prime factors of 88687 are 131, 677. Prime factorization of 88687 in exponential form is:
88687 = 1311 × 6771
Prime Factorization of 88691
Prime factors of 88691 are 31, 2861. Prime factorization of 88691 in exponential form is:
88691 = 311 × 28611
Now multiplying the highest exponent prime factors to calculate the LCM of 88687 and 88691.
LCM(88687,88691) = 1311 × 6771 × 311 × 28611
LCM(88687,88691) = 7865738717
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