What is the Least Common Multiple of 95388 and 95399?
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 95388 and 95399 is 9099919812.
LCM(95388,95399) = 9099919812
Least Common Multiple of 95388 and 95399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95388 and 95399, than apply into the LCM equation.
GCF(95388,95399) = 1
LCM(95388,95399) = ( 95388 × 95399) / 1
LCM(95388,95399) = 9099919812 / 1
LCM(95388,95399) = 9099919812
Least Common Multiple (LCM) of 95388 and 95399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95388 and 95399. First we will calculate the prime factors of 95388 and 95399.
Prime Factorization of 95388
Prime factors of 95388 are 2, 3, 7949. Prime factorization of 95388 in exponential form is:
95388 = 22 × 31 × 79491
Prime Factorization of 95399
Prime factors of 95399 are 19, 5021. Prime factorization of 95399 in exponential form is:
95399 = 191 × 50211
Now multiplying the highest exponent prime factors to calculate the LCM of 95388 and 95399.
LCM(95388,95399) = 22 × 31 × 79491 × 191 × 50211
LCM(95388,95399) = 9099919812
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