What is the Least Common Multiple of 93726 and 93743?
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 93726 and 93743 is 8786156418.
LCM(93726,93743) = 8786156418
Least Common Multiple of 93726 and 93743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93726 and 93743, than apply into the LCM equation.
GCF(93726,93743) = 1
LCM(93726,93743) = ( 93726 × 93743) / 1
LCM(93726,93743) = 8786156418 / 1
LCM(93726,93743) = 8786156418
Least Common Multiple (LCM) of 93726 and 93743 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93726 and 93743. First we will calculate the prime factors of 93726 and 93743.
Prime Factorization of 93726
Prime factors of 93726 are 2, 3, 41, 127. Prime factorization of 93726 in exponential form is:
93726 = 21 × 32 × 411 × 1271
Prime Factorization of 93743
Prime factors of 93743 are 13, 7211. Prime factorization of 93743 in exponential form is:
93743 = 131 × 72111
Now multiplying the highest exponent prime factors to calculate the LCM of 93726 and 93743.
LCM(93726,93743) = 21 × 32 × 411 × 1271 × 131 × 72111
LCM(93726,93743) = 8786156418
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