What is the Least Common Multiple of 88882 and 88894?
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 88882 and 88894 is 3950538254.
LCM(88882,88894) = 3950538254
Least Common Multiple of 88882 and 88894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88882 and 88894, than apply into the LCM equation.
GCF(88882,88894) = 2
LCM(88882,88894) = ( 88882 × 88894) / 2
LCM(88882,88894) = 7901076508 / 2
LCM(88882,88894) = 3950538254
Least Common Multiple (LCM) of 88882 and 88894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88882 and 88894. First we will calculate the prime factors of 88882 and 88894.
Prime Factorization of 88882
Prime factors of 88882 are 2, 19, 2339. Prime factorization of 88882 in exponential form is:
88882 = 21 × 191 × 23391
Prime Factorization of 88894
Prime factors of 88894 are 2, 13, 263. Prime factorization of 88894 in exponential form is:
88894 = 21 × 132 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 88882 and 88894.
LCM(88882,88894) = 21 × 191 × 23391 × 132 × 2631
LCM(88882,88894) = 3950538254
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