What is the Least Common Multiple of 93047 and 93058?
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 93047 and 93058 is 8658767726.
LCM(93047,93058) = 8658767726
Least Common Multiple of 93047 and 93058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93047 and 93058, than apply into the LCM equation.
GCF(93047,93058) = 1
LCM(93047,93058) = ( 93047 × 93058) / 1
LCM(93047,93058) = 8658767726 / 1
LCM(93047,93058) = 8658767726
Least Common Multiple (LCM) of 93047 and 93058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93047 and 93058. First we will calculate the prime factors of 93047 and 93058.
Prime Factorization of 93047
Prime factors of 93047 are 93047. Prime factorization of 93047 in exponential form is:
93047 = 930471
Prime Factorization of 93058
Prime factors of 93058 are 2, 7, 17, 23. Prime factorization of 93058 in exponential form is:
93058 = 21 × 71 × 172 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 93047 and 93058.
LCM(93047,93058) = 930471 × 21 × 71 × 172 × 231
LCM(93047,93058) = 8658767726
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