What is the Least Common Multiple of 60087 and 60095?
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 60087 and 60095 is 3610928265.
LCM(60087,60095) = 3610928265
Least Common Multiple of 60087 and 60095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60087 and 60095, than apply into the LCM equation.
GCF(60087,60095) = 1
LCM(60087,60095) = ( 60087 × 60095) / 1
LCM(60087,60095) = 3610928265 / 1
LCM(60087,60095) = 3610928265
Least Common Multiple (LCM) of 60087 and 60095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60087 and 60095. First we will calculate the prime factors of 60087 and 60095.
Prime Factorization of 60087
Prime factors of 60087 are 3, 20029. Prime factorization of 60087 in exponential form is:
60087 = 31 × 200291
Prime Factorization of 60095
Prime factors of 60095 are 5, 7, 17, 101. Prime factorization of 60095 in exponential form is:
60095 = 51 × 71 × 171 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 60087 and 60095.
LCM(60087,60095) = 31 × 200291 × 51 × 71 × 171 × 1011
LCM(60087,60095) = 3610928265
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