What is the Least Common Multiple of 93295 and 93299?
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 93295 and 93299 is 8704330205.
LCM(93295,93299) = 8704330205
Least Common Multiple of 93295 and 93299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93295 and 93299, than apply into the LCM equation.
GCF(93295,93299) = 1
LCM(93295,93299) = ( 93295 × 93299) / 1
LCM(93295,93299) = 8704330205 / 1
LCM(93295,93299) = 8704330205
Least Common Multiple (LCM) of 93295 and 93299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93295 and 93299. First we will calculate the prime factors of 93295 and 93299.
Prime Factorization of 93295
Prime factors of 93295 are 5, 47, 397. Prime factorization of 93295 in exponential form is:
93295 = 51 × 471 × 3971
Prime Factorization of 93299
Prime factors of 93299 are 79, 1181. Prime factorization of 93299 in exponential form is:
93299 = 791 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 93295 and 93299.
LCM(93295,93299) = 51 × 471 × 3971 × 791 × 11811
LCM(93295,93299) = 8704330205
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