What is the Least Common Multiple of 88866 and 88878?
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 88866 and 88878 is 1316372058.
LCM(88866,88878) = 1316372058
Least Common Multiple of 88866 and 88878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88866 and 88878, than apply into the LCM equation.
GCF(88866,88878) = 6
LCM(88866,88878) = ( 88866 × 88878) / 6
LCM(88866,88878) = 7898232348 / 6
LCM(88866,88878) = 1316372058
Least Common Multiple (LCM) of 88866 and 88878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88866 and 88878. First we will calculate the prime factors of 88866 and 88878.
Prime Factorization of 88866
Prime factors of 88866 are 2, 3, 4937. Prime factorization of 88866 in exponential form is:
88866 = 21 × 32 × 49371
Prime Factorization of 88878
Prime factors of 88878 are 2, 3, 14813. Prime factorization of 88878 in exponential form is:
88878 = 21 × 31 × 148131
Now multiplying the highest exponent prime factors to calculate the LCM of 88866 and 88878.
LCM(88866,88878) = 21 × 32 × 49371 × 148131
LCM(88866,88878) = 1316372058
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