What is the Least Common Multiple of 93366 and 93371?
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 93366 and 93371 is 8717676786.
LCM(93366,93371) = 8717676786
Least Common Multiple of 93366 and 93371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93366 and 93371, than apply into the LCM equation.
GCF(93366,93371) = 1
LCM(93366,93371) = ( 93366 × 93371) / 1
LCM(93366,93371) = 8717676786 / 1
LCM(93366,93371) = 8717676786
Least Common Multiple (LCM) of 93366 and 93371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93366 and 93371. First we will calculate the prime factors of 93366 and 93371.
Prime Factorization of 93366
Prime factors of 93366 are 2, 3, 7, 13, 19. Prime factorization of 93366 in exponential form is:
93366 = 21 × 33 × 71 × 131 × 191
Prime Factorization of 93371
Prime factors of 93371 are 93371. Prime factorization of 93371 in exponential form is:
93371 = 933711
Now multiplying the highest exponent prime factors to calculate the LCM of 93366 and 93371.
LCM(93366,93371) = 21 × 33 × 71 × 131 × 191 × 933711
LCM(93366,93371) = 8717676786
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