What is the Least Common Multiple of 88061 and 88078?
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 88078 is 7756236758.
LCM(88061,88078) = 7756236758
Least Common Multiple of 88061 and 88078 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 88078, than apply into the LCM equation.
GCF(88061,88078) = 1
LCM(88061,88078) = ( 88061 × 88078) / 1
LCM(88061,88078) = 7756236758 / 1
LCM(88061,88078) = 7756236758
Least Common Multiple (LCM) of 88061 and 88078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88061 and 88078. First we will calculate the prime factors of 88061 and 88078.
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 88078
Prime factors of 88078 are 2, 47, 937. Prime factorization of 88078 in exponential form is:
88078 = 21 × 471 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 88061 and 88078.
LCM(88061,88078) = 1071 × 8231 × 21 × 471 × 9371
LCM(88061,88078) = 7756236758
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