What is the Least Common Multiple of 88873 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 88873 and 88878 is 7898854494.
LCM(88873,88878) = 7898854494
Least Common Multiple of 88873 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 88873 and 88878, than apply into the LCM equation.
GCF(88873,88878) = 1
LCM(88873,88878) = ( 88873 × 88878) / 1
LCM(88873,88878) = 7898854494 / 1
LCM(88873,88878) = 7898854494
Least Common Multiple (LCM) of 88873 and 88878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88873 and 88878. First we will calculate the prime factors of 88873 and 88878.
Prime Factorization of 88873
Prime factors of 88873 are 88873. Prime factorization of 88873 in exponential form is:
88873 = 888731
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 88873 and 88878.
LCM(88873,88878) = 888731 × 21 × 31 × 148131
LCM(88873,88878) = 7898854494
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