What is the Least Common Multiple of 93832 and 93847?
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 93832 and 93847 is 8805851704.
LCM(93832,93847) = 8805851704
Least Common Multiple of 93832 and 93847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93832 and 93847, than apply into the LCM equation.
GCF(93832,93847) = 1
LCM(93832,93847) = ( 93832 × 93847) / 1
LCM(93832,93847) = 8805851704 / 1
LCM(93832,93847) = 8805851704
Least Common Multiple (LCM) of 93832 and 93847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93832 and 93847. First we will calculate the prime factors of 93832 and 93847.
Prime Factorization of 93832
Prime factors of 93832 are 2, 37, 317. Prime factorization of 93832 in exponential form is:
93832 = 23 × 371 × 3171
Prime Factorization of 93847
Prime factors of 93847 are 13, 7219. Prime factorization of 93847 in exponential form is:
93847 = 131 × 72191
Now multiplying the highest exponent prime factors to calculate the LCM of 93832 and 93847.
LCM(93832,93847) = 23 × 371 × 3171 × 131 × 72191
LCM(93832,93847) = 8805851704
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