What is the Least Common Multiple of 95343 and 95362?
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 95343 and 95362 is 9092099166.
LCM(95343,95362) = 9092099166
Least Common Multiple of 95343 and 95362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95343 and 95362, than apply into the LCM equation.
GCF(95343,95362) = 1
LCM(95343,95362) = ( 95343 × 95362) / 1
LCM(95343,95362) = 9092099166 / 1
LCM(95343,95362) = 9092099166
Least Common Multiple (LCM) of 95343 and 95362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95343 and 95362. First we will calculate the prime factors of 95343 and 95362.
Prime Factorization of 95343
Prime factors of 95343 are 3, 61, 521. Prime factorization of 95343 in exponential form is:
95343 = 31 × 611 × 5211
Prime Factorization of 95362
Prime factors of 95362 are 2, 47681. Prime factorization of 95362 in exponential form is:
95362 = 21 × 476811
Now multiplying the highest exponent prime factors to calculate the LCM of 95343 and 95362.
LCM(95343,95362) = 31 × 611 × 5211 × 21 × 476811
LCM(95343,95362) = 9092099166
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