What is the Least Common Multiple of 93665 and 93669?
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 93665 and 93669 is 8773506885.
LCM(93665,93669) = 8773506885
Least Common Multiple of 93665 and 93669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93665 and 93669, than apply into the LCM equation.
GCF(93665,93669) = 1
LCM(93665,93669) = ( 93665 × 93669) / 1
LCM(93665,93669) = 8773506885 / 1
LCM(93665,93669) = 8773506885
Least Common Multiple (LCM) of 93665 and 93669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93665 and 93669. First we will calculate the prime factors of 93665 and 93669.
Prime Factorization of 93665
Prime factors of 93665 are 5, 11, 13, 131. Prime factorization of 93665 in exponential form is:
93665 = 51 × 111 × 131 × 1311
Prime Factorization of 93669
Prime factors of 93669 are 3, 31223. Prime factorization of 93669 in exponential form is:
93669 = 31 × 312231
Now multiplying the highest exponent prime factors to calculate the LCM of 93665 and 93669.
LCM(93665,93669) = 51 × 111 × 131 × 1311 × 31 × 312231
LCM(93665,93669) = 8773506885
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