What is the Least Common Multiple of 93193 and 93206?
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 93193 and 93206 is 8686146758.
LCM(93193,93206) = 8686146758
Least Common Multiple of 93193 and 93206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93193 and 93206, than apply into the LCM equation.
GCF(93193,93206) = 1
LCM(93193,93206) = ( 93193 × 93206) / 1
LCM(93193,93206) = 8686146758 / 1
LCM(93193,93206) = 8686146758
Least Common Multiple (LCM) of 93193 and 93206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93193 and 93206. First we will calculate the prime factors of 93193 and 93206.
Prime Factorization of 93193
Prime factors of 93193 are 41, 2273. Prime factorization of 93193 in exponential form is:
93193 = 411 × 22731
Prime Factorization of 93206
Prime factors of 93206 are 2, 29, 1607. Prime factorization of 93206 in exponential form is:
93206 = 21 × 291 × 16071
Now multiplying the highest exponent prime factors to calculate the LCM of 93193 and 93206.
LCM(93193,93206) = 411 × 22731 × 21 × 291 × 16071
LCM(93193,93206) = 8686146758
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