What is the Least Common Multiple of 88177 and 88194?
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 88177 and 88194 is 7776682338.
LCM(88177,88194) = 7776682338
Least Common Multiple of 88177 and 88194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88177 and 88194, than apply into the LCM equation.
GCF(88177,88194) = 1
LCM(88177,88194) = ( 88177 × 88194) / 1
LCM(88177,88194) = 7776682338 / 1
LCM(88177,88194) = 7776682338
Least Common Multiple (LCM) of 88177 and 88194 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88177 and 88194. First we will calculate the prime factors of 88177 and 88194.
Prime Factorization of 88177
Prime factors of 88177 are 88177. Prime factorization of 88177 in exponential form is:
88177 = 881771
Prime Factorization of 88194
Prime factors of 88194 are 2, 3, 14699. Prime factorization of 88194 in exponential form is:
88194 = 21 × 31 × 146991
Now multiplying the highest exponent prime factors to calculate the LCM of 88177 and 88194.
LCM(88177,88194) = 881771 × 21 × 31 × 146991
LCM(88177,88194) = 7776682338
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