What is the Least Common Multiple of 88671 and 88678?
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 88671 and 88678 is 7863166938.
LCM(88671,88678) = 7863166938
Least Common Multiple of 88671 and 88678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88671 and 88678, than apply into the LCM equation.
GCF(88671,88678) = 1
LCM(88671,88678) = ( 88671 × 88678) / 1
LCM(88671,88678) = 7863166938 / 1
LCM(88671,88678) = 7863166938
Least Common Multiple (LCM) of 88671 and 88678 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88671 and 88678. First we will calculate the prime factors of 88671 and 88678.
Prime Factorization of 88671
Prime factors of 88671 are 3, 11, 2687. Prime factorization of 88671 in exponential form is:
88671 = 31 × 111 × 26871
Prime Factorization of 88678
Prime factors of 88678 are 2, 101, 439. Prime factorization of 88678 in exponential form is:
88678 = 21 × 1011 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 88671 and 88678.
LCM(88671,88678) = 31 × 111 × 26871 × 21 × 1011 × 4391
LCM(88671,88678) = 7863166938
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