What is the Least Common Multiple of 88103 and 88107?
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 88103 and 88107 is 7762491021.
LCM(88103,88107) = 7762491021
Least Common Multiple of 88103 and 88107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88103 and 88107, than apply into the LCM equation.
GCF(88103,88107) = 1
LCM(88103,88107) = ( 88103 × 88107) / 1
LCM(88103,88107) = 7762491021 / 1
LCM(88103,88107) = 7762491021
Least Common Multiple (LCM) of 88103 and 88107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88103 and 88107. First we will calculate the prime factors of 88103 and 88107.
Prime Factorization of 88103
Prime factors of 88103 are 19, 4637. Prime factorization of 88103 in exponential form is:
88103 = 191 × 46371
Prime Factorization of 88107
Prime factors of 88107 are 3, 43, 683. Prime factorization of 88107 in exponential form is:
88107 = 31 × 431 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 88103 and 88107.
LCM(88103,88107) = 191 × 46371 × 31 × 431 × 6831
LCM(88103,88107) = 7762491021
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