What is the Least Common Multiple of 95337 and 95345?
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 95337 and 95345 is 9089906265.
LCM(95337,95345) = 9089906265
Least Common Multiple of 95337 and 95345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95337 and 95345, than apply into the LCM equation.
GCF(95337,95345) = 1
LCM(95337,95345) = ( 95337 × 95345) / 1
LCM(95337,95345) = 9089906265 / 1
LCM(95337,95345) = 9089906265
Least Common Multiple (LCM) of 95337 and 95345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95337 and 95345. First we will calculate the prime factors of 95337 and 95345.
Prime Factorization of 95337
Prime factors of 95337 are 3, 11, 107. Prime factorization of 95337 in exponential form is:
95337 = 34 × 111 × 1071
Prime Factorization of 95345
Prime factors of 95345 are 5, 19069. Prime factorization of 95345 in exponential form is:
95345 = 51 × 190691
Now multiplying the highest exponent prime factors to calculate the LCM of 95337 and 95345.
LCM(95337,95345) = 34 × 111 × 1071 × 51 × 190691
LCM(95337,95345) = 9089906265
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