What is the Least Common Multiple of 93844 and 93863?
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 93844 and 93863 is 8808479372.
LCM(93844,93863) = 8808479372
Least Common Multiple of 93844 and 93863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93844 and 93863, than apply into the LCM equation.
GCF(93844,93863) = 1
LCM(93844,93863) = ( 93844 × 93863) / 1
LCM(93844,93863) = 8808479372 / 1
LCM(93844,93863) = 8808479372
Least Common Multiple (LCM) of 93844 and 93863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93844 and 93863. First we will calculate the prime factors of 93844 and 93863.
Prime Factorization of 93844
Prime factors of 93844 are 2, 29, 809. Prime factorization of 93844 in exponential form is:
93844 = 22 × 291 × 8091
Prime Factorization of 93863
Prime factors of 93863 are 7, 11, 23, 53. Prime factorization of 93863 in exponential form is:
93863 = 71 × 111 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 93844 and 93863.
LCM(93844,93863) = 22 × 291 × 8091 × 71 × 111 × 231 × 531
LCM(93844,93863) = 8808479372
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