What is the Least Common Multiple of 93673 and 93690?
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 93673 and 93690 is 8776223370.
LCM(93673,93690) = 8776223370
Least Common Multiple of 93673 and 93690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93673 and 93690, than apply into the LCM equation.
GCF(93673,93690) = 1
LCM(93673,93690) = ( 93673 × 93690) / 1
LCM(93673,93690) = 8776223370 / 1
LCM(93673,93690) = 8776223370
Least Common Multiple (LCM) of 93673 and 93690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93673 and 93690. First we will calculate the prime factors of 93673 and 93690.
Prime Factorization of 93673
Prime factors of 93673 are 283, 331. Prime factorization of 93673 in exponential form is:
93673 = 2831 × 3311
Prime Factorization of 93690
Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:
93690 = 21 × 33 × 51 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 93673 and 93690.
LCM(93673,93690) = 2831 × 3311 × 21 × 33 × 51 × 3471
LCM(93673,93690) = 8776223370
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