What is the Least Common Multiple of 88061 and 88067?
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 88061 and 88067 is 7755268087.
LCM(88061,88067) = 7755268087
Least Common Multiple of 88061 and 88067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88061 and 88067, than apply into the LCM equation.
GCF(88061,88067) = 1
LCM(88061,88067) = ( 88061 × 88067) / 1
LCM(88061,88067) = 7755268087 / 1
LCM(88061,88067) = 7755268087
Least Common Multiple (LCM) of 88061 and 88067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88061 and 88067. First we will calculate the prime factors of 88061 and 88067.
Prime Factorization of 88061
Prime factors of 88061 are 107, 823. Prime factorization of 88061 in exponential form is:
88061 = 1071 × 8231
Prime Factorization of 88067
Prime factors of 88067 are 7, 23, 547. Prime factorization of 88067 in exponential form is:
88067 = 71 × 231 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 88061 and 88067.
LCM(88061,88067) = 1071 × 8231 × 71 × 231 × 5471
LCM(88061,88067) = 7755268087
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