What is the Least Common Multiple of 69268 and 69287?
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 69268 and 69287 is 4799371916.
LCM(69268,69287) = 4799371916
Least Common Multiple of 69268 and 69287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69268 and 69287, than apply into the LCM equation.
GCF(69268,69287) = 1
LCM(69268,69287) = ( 69268 × 69287) / 1
LCM(69268,69287) = 4799371916 / 1
LCM(69268,69287) = 4799371916
Least Common Multiple (LCM) of 69268 and 69287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69268 and 69287. First we will calculate the prime factors of 69268 and 69287.
Prime Factorization of 69268
Prime factors of 69268 are 2, 17317. Prime factorization of 69268 in exponential form is:
69268 = 22 × 173171
Prime Factorization of 69287
Prime factors of 69287 are 193, 359. Prime factorization of 69287 in exponential form is:
69287 = 1931 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 69268 and 69287.
LCM(69268,69287) = 22 × 173171 × 1931 × 3591
LCM(69268,69287) = 4799371916
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