What is the Least Common Multiple of 93229 and 93237?
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 93229 and 93237 is 8692392273.
LCM(93229,93237) = 8692392273
Least Common Multiple of 93229 and 93237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93229 and 93237, than apply into the LCM equation.
GCF(93229,93237) = 1
LCM(93229,93237) = ( 93229 × 93237) / 1
LCM(93229,93237) = 8692392273 / 1
LCM(93229,93237) = 8692392273
Least Common Multiple (LCM) of 93229 and 93237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93229 and 93237. First we will calculate the prime factors of 93229 and 93237.
Prime Factorization of 93229
Prime factors of 93229 are 93229. Prime factorization of 93229 in exponential form is:
93229 = 932291
Prime Factorization of 93237
Prime factors of 93237 are 3, 31079. Prime factorization of 93237 in exponential form is:
93237 = 31 × 310791
Now multiplying the highest exponent prime factors to calculate the LCM of 93229 and 93237.
LCM(93229,93237) = 932291 × 31 × 310791
LCM(93229,93237) = 8692392273
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