What is the Least Common Multiple of 95639 and 95659?
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 95639 and 95659 is 9148731101.
LCM(95639,95659) = 9148731101
Least Common Multiple of 95639 and 95659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95639 and 95659, than apply into the LCM equation.
GCF(95639,95659) = 1
LCM(95639,95659) = ( 95639 × 95659) / 1
LCM(95639,95659) = 9148731101 / 1
LCM(95639,95659) = 9148731101
Least Common Multiple (LCM) of 95639 and 95659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95659. First we will calculate the prime factors of 95639 and 95659.
Prime Factorization of 95639
Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:
95639 = 591 × 16211
Prime Factorization of 95659
Prime factors of 95659 are 17, 331. Prime factorization of 95659 in exponential form is:
95659 = 172 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95659.
LCM(95639,95659) = 591 × 16211 × 172 × 3311
LCM(95639,95659) = 9148731101
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