What is the Least Common Multiple of 88159 and 88178?
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 88159 and 88178 is 7773684302.
LCM(88159,88178) = 7773684302
Least Common Multiple of 88159 and 88178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88159 and 88178, than apply into the LCM equation.
GCF(88159,88178) = 1
LCM(88159,88178) = ( 88159 × 88178) / 1
LCM(88159,88178) = 7773684302 / 1
LCM(88159,88178) = 7773684302
Least Common Multiple (LCM) of 88159 and 88178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88159 and 88178. First we will calculate the prime factors of 88159 and 88178.
Prime Factorization of 88159
Prime factors of 88159 are 23, 3833. Prime factorization of 88159 in exponential form is:
88159 = 231 × 38331
Prime Factorization of 88178
Prime factors of 88178 are 2, 44089. Prime factorization of 88178 in exponential form is:
88178 = 21 × 440891
Now multiplying the highest exponent prime factors to calculate the LCM of 88159 and 88178.
LCM(88159,88178) = 231 × 38331 × 21 × 440891
LCM(88159,88178) = 7773684302
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