What is the Least Common Multiple of 93204 and 93211?
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 93204 and 93211 is 8687638044.
LCM(93204,93211) = 8687638044
Least Common Multiple of 93204 and 93211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93204 and 93211, than apply into the LCM equation.
GCF(93204,93211) = 1
LCM(93204,93211) = ( 93204 × 93211) / 1
LCM(93204,93211) = 8687638044 / 1
LCM(93204,93211) = 8687638044
Least Common Multiple (LCM) of 93204 and 93211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93204 and 93211. First we will calculate the prime factors of 93204 and 93211.
Prime Factorization of 93204
Prime factors of 93204 are 2, 3, 863. Prime factorization of 93204 in exponential form is:
93204 = 22 × 33 × 8631
Prime Factorization of 93211
Prime factors of 93211 are 17, 5483. Prime factorization of 93211 in exponential form is:
93211 = 171 × 54831
Now multiplying the highest exponent prime factors to calculate the LCM of 93204 and 93211.
LCM(93204,93211) = 22 × 33 × 8631 × 171 × 54831
LCM(93204,93211) = 8687638044
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