What is the Least Common Multiple of 93341 and 93351?
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 93341 and 93351 is 8713475691.
LCM(93341,93351) = 8713475691
Least Common Multiple of 93341 and 93351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93341 and 93351, than apply into the LCM equation.
GCF(93341,93351) = 1
LCM(93341,93351) = ( 93341 × 93351) / 1
LCM(93341,93351) = 8713475691 / 1
LCM(93341,93351) = 8713475691
Least Common Multiple (LCM) of 93341 and 93351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93341 and 93351. First we will calculate the prime factors of 93341 and 93351.
Prime Factorization of 93341
Prime factors of 93341 are 31, 3011. Prime factorization of 93341 in exponential form is:
93341 = 311 × 30111
Prime Factorization of 93351
Prime factors of 93351 are 3, 29, 37. Prime factorization of 93351 in exponential form is:
93351 = 31 × 292 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 93341 and 93351.
LCM(93341,93351) = 311 × 30111 × 31 × 292 × 371
LCM(93341,93351) = 8713475691
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