What is the Least Common Multiple of 88922 and 88926?
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 88922 and 88926 is 3953738886.
LCM(88922,88926) = 3953738886
Least Common Multiple of 88922 and 88926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88922 and 88926, than apply into the LCM equation.
GCF(88922,88926) = 2
LCM(88922,88926) = ( 88922 × 88926) / 2
LCM(88922,88926) = 7907477772 / 2
LCM(88922,88926) = 3953738886
Least Common Multiple (LCM) of 88922 and 88926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88922 and 88926. First we will calculate the prime factors of 88922 and 88926.
Prime Factorization of 88922
Prime factors of 88922 are 2, 173, 257. Prime factorization of 88922 in exponential form is:
88922 = 21 × 1731 × 2571
Prime Factorization of 88926
Prime factors of 88926 are 2, 3, 14821. Prime factorization of 88926 in exponential form is:
88926 = 21 × 31 × 148211
Now multiplying the highest exponent prime factors to calculate the LCM of 88922 and 88926.
LCM(88922,88926) = 21 × 1731 × 2571 × 31 × 148211
LCM(88922,88926) = 3953738886
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