What is the Least Common Multiple of 95399 and 95415?
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 95399 and 95415 is 9102495585.
LCM(95399,95415) = 9102495585
Least Common Multiple of 95399 and 95415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95399 and 95415, than apply into the LCM equation.
GCF(95399,95415) = 1
LCM(95399,95415) = ( 95399 × 95415) / 1
LCM(95399,95415) = 9102495585 / 1
LCM(95399,95415) = 9102495585
Least Common Multiple (LCM) of 95399 and 95415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95399 and 95415. First we will calculate the prime factors of 95399 and 95415.
Prime Factorization of 95399
Prime factors of 95399 are 19, 5021. Prime factorization of 95399 in exponential form is:
95399 = 191 × 50211
Prime Factorization of 95415
Prime factors of 95415 are 3, 5, 6361. Prime factorization of 95415 in exponential form is:
95415 = 31 × 51 × 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 95399 and 95415.
LCM(95399,95415) = 191 × 50211 × 31 × 51 × 63611
LCM(95399,95415) = 9102495585
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