What is the Least Common Multiple of 93066 and 93086?
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 93066 and 93086 is 4331570838.
LCM(93066,93086) = 4331570838
Least Common Multiple of 93066 and 93086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93066 and 93086, than apply into the LCM equation.
GCF(93066,93086) = 2
LCM(93066,93086) = ( 93066 × 93086) / 2
LCM(93066,93086) = 8663141676 / 2
LCM(93066,93086) = 4331570838
Least Common Multiple (LCM) of 93066 and 93086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93066 and 93086. First we will calculate the prime factors of 93066 and 93086.
Prime Factorization of 93066
Prime factors of 93066 are 2, 3, 15511. Prime factorization of 93066 in exponential form is:
93066 = 21 × 31 × 155111
Prime Factorization of 93086
Prime factors of 93086 are 2, 7, 61, 109. Prime factorization of 93086 in exponential form is:
93086 = 21 × 71 × 611 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 93066 and 93086.
LCM(93066,93086) = 21 × 31 × 155111 × 71 × 611 × 1091
LCM(93066,93086) = 4331570838
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