What is the Least Common Multiple of 88627 and 88631?
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 88627 and 88631 is 7855099637.
LCM(88627,88631) = 7855099637
Least Common Multiple of 88627 and 88631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88627 and 88631, than apply into the LCM equation.
GCF(88627,88631) = 1
LCM(88627,88631) = ( 88627 × 88631) / 1
LCM(88627,88631) = 7855099637 / 1
LCM(88627,88631) = 7855099637
Least Common Multiple (LCM) of 88627 and 88631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88627 and 88631. First we will calculate the prime factors of 88627 and 88631.
Prime Factorization of 88627
Prime factors of 88627 are 7, 11, 1151. Prime factorization of 88627 in exponential form is:
88627 = 71 × 111 × 11511
Prime Factorization of 88631
Prime factors of 88631 are 263, 337. Prime factorization of 88631 in exponential form is:
88631 = 2631 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 88627 and 88631.
LCM(88627,88631) = 71 × 111 × 11511 × 2631 × 3371
LCM(88627,88631) = 7855099637
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