What is the Least Common Multiple of 93847 and 93861?
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 93847 and 93861 is 8808573267.
LCM(93847,93861) = 8808573267
Least Common Multiple of 93847 and 93861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93847 and 93861, than apply into the LCM equation.
GCF(93847,93861) = 1
LCM(93847,93861) = ( 93847 × 93861) / 1
LCM(93847,93861) = 8808573267 / 1
LCM(93847,93861) = 8808573267
Least Common Multiple (LCM) of 93847 and 93861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93847 and 93861. First we will calculate the prime factors of 93847 and 93861.
Prime Factorization of 93847
Prime factors of 93847 are 13, 7219. Prime factorization of 93847 in exponential form is:
93847 = 131 × 72191
Prime Factorization of 93861
Prime factors of 93861 are 3, 10429. Prime factorization of 93861 in exponential form is:
93861 = 32 × 104291
Now multiplying the highest exponent prime factors to calculate the LCM of 93847 and 93861.
LCM(93847,93861) = 131 × 72191 × 32 × 104291
LCM(93847,93861) = 8808573267
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