What is the Least Common Multiple of 60581 and 60587?
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 60581 and 60587 is 3670421047.
LCM(60581,60587) = 3670421047
Least Common Multiple of 60581 and 60587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60581 and 60587, than apply into the LCM equation.
GCF(60581,60587) = 1
LCM(60581,60587) = ( 60581 × 60587) / 1
LCM(60581,60587) = 3670421047 / 1
LCM(60581,60587) = 3670421047
Least Common Multiple (LCM) of 60581 and 60587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60581 and 60587. First we will calculate the prime factors of 60581 and 60587.
Prime Factorization of 60581
Prime factors of 60581 are 29, 2089. Prime factorization of 60581 in exponential form is:
60581 = 291 × 20891
Prime Factorization of 60587
Prime factors of 60587 are 43, 1409. Prime factorization of 60587 in exponential form is:
60587 = 431 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 60581 and 60587.
LCM(60581,60587) = 291 × 20891 × 431 × 14091
LCM(60581,60587) = 3670421047
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