What is the Least Common Multiple of 93733 and 93746?
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 93733 and 93746 is 8787093818.
LCM(93733,93746) = 8787093818
Least Common Multiple of 93733 and 93746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93733 and 93746, than apply into the LCM equation.
GCF(93733,93746) = 1
LCM(93733,93746) = ( 93733 × 93746) / 1
LCM(93733,93746) = 8787093818 / 1
LCM(93733,93746) = 8787093818
Least Common Multiple (LCM) of 93733 and 93746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93733 and 93746. First we will calculate the prime factors of 93733 and 93746.
Prime Factorization of 93733
Prime factors of 93733 are 67, 1399. Prime factorization of 93733 in exponential form is:
93733 = 671 × 13991
Prime Factorization of 93746
Prime factors of 93746 are 2, 19, 2467. Prime factorization of 93746 in exponential form is:
93746 = 21 × 191 × 24671
Now multiplying the highest exponent prime factors to calculate the LCM of 93733 and 93746.
LCM(93733,93746) = 671 × 13991 × 21 × 191 × 24671
LCM(93733,93746) = 8787093818
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