What is the Least Common Multiple of 60517 and 60531?
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 60517 and 60531 is 3663154527.
LCM(60517,60531) = 3663154527
Least Common Multiple of 60517 and 60531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60517 and 60531, than apply into the LCM equation.
GCF(60517,60531) = 1
LCM(60517,60531) = ( 60517 × 60531) / 1
LCM(60517,60531) = 3663154527 / 1
LCM(60517,60531) = 3663154527
Least Common Multiple (LCM) of 60517 and 60531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60517 and 60531. First we will calculate the prime factors of 60517 and 60531.
Prime Factorization of 60517
Prime factors of 60517 are 73, 829. Prime factorization of 60517 in exponential form is:
60517 = 731 × 8291
Prime Factorization of 60531
Prime factors of 60531 are 3, 20177. Prime factorization of 60531 in exponential form is:
60531 = 31 × 201771
Now multiplying the highest exponent prime factors to calculate the LCM of 60517 and 60531.
LCM(60517,60531) = 731 × 8291 × 31 × 201771
LCM(60517,60531) = 3663154527
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