What is the Least Common Multiple of 95357 and 95367?
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 95357 and 95367 is 9093911019.
LCM(95357,95367) = 9093911019
Least Common Multiple of 95357 and 95367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95357 and 95367, than apply into the LCM equation.
GCF(95357,95367) = 1
LCM(95357,95367) = ( 95357 × 95367) / 1
LCM(95357,95367) = 9093911019 / 1
LCM(95357,95367) = 9093911019
Least Common Multiple (LCM) of 95357 and 95367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95357 and 95367. First we will calculate the prime factors of 95357 and 95367.
Prime Factorization of 95357
Prime factors of 95357 are 167, 571. Prime factorization of 95357 in exponential form is:
95357 = 1671 × 5711
Prime Factorization of 95367
Prime factors of 95367 are 3, 83, 383. Prime factorization of 95367 in exponential form is:
95367 = 31 × 831 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 95357 and 95367.
LCM(95357,95367) = 1671 × 5711 × 31 × 831 × 3831
LCM(95357,95367) = 9093911019
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