What is the Least Common Multiple of 92347 and 92366?
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 92347 and 92366 is 8529723002.
LCM(92347,92366) = 8529723002
Least Common Multiple of 92347 and 92366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92347 and 92366, than apply into the LCM equation.
GCF(92347,92366) = 1
LCM(92347,92366) = ( 92347 × 92366) / 1
LCM(92347,92366) = 8529723002 / 1
LCM(92347,92366) = 8529723002
Least Common Multiple (LCM) of 92347 and 92366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92347 and 92366. First we will calculate the prime factors of 92347 and 92366.
Prime Factorization of 92347
Prime factors of 92347 are 92347. Prime factorization of 92347 in exponential form is:
92347 = 923471
Prime Factorization of 92366
Prime factors of 92366 are 2, 46183. Prime factorization of 92366 in exponential form is:
92366 = 21 × 461831
Now multiplying the highest exponent prime factors to calculate the LCM of 92347 and 92366.
LCM(92347,92366) = 923471 × 21 × 461831
LCM(92347,92366) = 8529723002
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