What is the Least Common Multiple of 64873 and 64878?
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 64873 and 64878 is 4208830494.
LCM(64873,64878) = 4208830494
Least Common Multiple of 64873 and 64878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64873 and 64878, than apply into the LCM equation.
GCF(64873,64878) = 1
LCM(64873,64878) = ( 64873 × 64878) / 1
LCM(64873,64878) = 4208830494 / 1
LCM(64873,64878) = 4208830494
Least Common Multiple (LCM) of 64873 and 64878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64873 and 64878. First we will calculate the prime factors of 64873 and 64878.
Prime Factorization of 64873
Prime factors of 64873 are 29, 2237. Prime factorization of 64873 in exponential form is:
64873 = 291 × 22371
Prime Factorization of 64878
Prime factors of 64878 are 2, 3, 11, 983. Prime factorization of 64878 in exponential form is:
64878 = 21 × 31 × 111 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 64873 and 64878.
LCM(64873,64878) = 291 × 22371 × 21 × 31 × 111 × 9831
LCM(64873,64878) = 4208830494
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