What is the Least Common Multiple of 88908 and 88922?
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 88908 and 88922 is 3952938588.
LCM(88908,88922) = 3952938588
Least Common Multiple of 88908 and 88922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88908 and 88922, than apply into the LCM equation.
GCF(88908,88922) = 2
LCM(88908,88922) = ( 88908 × 88922) / 2
LCM(88908,88922) = 7905877176 / 2
LCM(88908,88922) = 3952938588
Least Common Multiple (LCM) of 88908 and 88922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88908 and 88922. First we will calculate the prime factors of 88908 and 88922.
Prime Factorization of 88908
Prime factors of 88908 are 2, 3, 31, 239. Prime factorization of 88908 in exponential form is:
88908 = 22 × 31 × 311 × 2391
Prime Factorization of 88922
Prime factors of 88922 are 2, 173, 257. Prime factorization of 88922 in exponential form is:
88922 = 21 × 1731 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 88908 and 88922.
LCM(88908,88922) = 22 × 31 × 311 × 2391 × 1731 × 2571
LCM(88908,88922) = 3952938588
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