What is the Least Common Multiple of 95588 and 95601?
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 95588 and 95601 is 9138308388.
LCM(95588,95601) = 9138308388
Least Common Multiple of 95588 and 95601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95588 and 95601, than apply into the LCM equation.
GCF(95588,95601) = 1
LCM(95588,95601) = ( 95588 × 95601) / 1
LCM(95588,95601) = 9138308388 / 1
LCM(95588,95601) = 9138308388
Least Common Multiple (LCM) of 95588 and 95601 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95588 and 95601. First we will calculate the prime factors of 95588 and 95601.
Prime Factorization of 95588
Prime factors of 95588 are 2, 23, 1039. Prime factorization of 95588 in exponential form is:
95588 = 22 × 231 × 10391
Prime Factorization of 95601
Prime factors of 95601 are 3, 11, 2897. Prime factorization of 95601 in exponential form is:
95601 = 31 × 111 × 28971
Now multiplying the highest exponent prime factors to calculate the LCM of 95588 and 95601.
LCM(95588,95601) = 22 × 231 × 10391 × 31 × 111 × 28971
LCM(95588,95601) = 9138308388
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