What is the Least Common Multiple of 88263 and 88279?
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 88263 and 88279 is 7791769377.
LCM(88263,88279) = 7791769377
Least Common Multiple of 88263 and 88279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88263 and 88279, than apply into the LCM equation.
GCF(88263,88279) = 1
LCM(88263,88279) = ( 88263 × 88279) / 1
LCM(88263,88279) = 7791769377 / 1
LCM(88263,88279) = 7791769377
Least Common Multiple (LCM) of 88263 and 88279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88263 and 88279. First we will calculate the prime factors of 88263 and 88279.
Prime Factorization of 88263
Prime factors of 88263 are 3, 7, 467. Prime factorization of 88263 in exponential form is:
88263 = 33 × 71 × 4671
Prime Factorization of 88279
Prime factors of 88279 are 43, 2053. Prime factorization of 88279 in exponential form is:
88279 = 431 × 20531
Now multiplying the highest exponent prime factors to calculate the LCM of 88263 and 88279.
LCM(88263,88279) = 33 × 71 × 4671 × 431 × 20531
LCM(88263,88279) = 7791769377
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