What is the Least Common Multiple of 88067 and 88073?
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 88067 and 88073 is 7756324891.
LCM(88067,88073) = 7756324891
Least Common Multiple of 88067 and 88073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88067 and 88073, than apply into the LCM equation.
GCF(88067,88073) = 1
LCM(88067,88073) = ( 88067 × 88073) / 1
LCM(88067,88073) = 7756324891 / 1
LCM(88067,88073) = 7756324891
Least Common Multiple (LCM) of 88067 and 88073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88067 and 88073. First we will calculate the prime factors of 88067 and 88073.
Prime Factorization of 88067
Prime factors of 88067 are 7, 23, 547. Prime factorization of 88067 in exponential form is:
88067 = 71 × 231 × 5471
Prime Factorization of 88073
Prime factors of 88073 are 29, 3037. Prime factorization of 88073 in exponential form is:
88073 = 291 × 30371
Now multiplying the highest exponent prime factors to calculate the LCM of 88067 and 88073.
LCM(88067,88073) = 71 × 231 × 5471 × 291 × 30371
LCM(88067,88073) = 7756324891
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