What is the Least Common Multiple of 95594 and 95605?
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 95594 and 95605 is 9139264370.
LCM(95594,95605) = 9139264370
Least Common Multiple of 95594 and 95605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95594 and 95605, than apply into the LCM equation.
GCF(95594,95605) = 1
LCM(95594,95605) = ( 95594 × 95605) / 1
LCM(95594,95605) = 9139264370 / 1
LCM(95594,95605) = 9139264370
Least Common Multiple (LCM) of 95594 and 95605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95594 and 95605. First we will calculate the prime factors of 95594 and 95605.
Prime Factorization of 95594
Prime factors of 95594 are 2, 47797. Prime factorization of 95594 in exponential form is:
95594 = 21 × 477971
Prime Factorization of 95605
Prime factors of 95605 are 5, 19121. Prime factorization of 95605 in exponential form is:
95605 = 51 × 191211
Now multiplying the highest exponent prime factors to calculate the LCM of 95594 and 95605.
LCM(95594,95605) = 21 × 477971 × 51 × 191211
LCM(95594,95605) = 9139264370
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