What is the Least Common Multiple of 60568 and 60573?
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 60568 and 60573 is 3668785464.
LCM(60568,60573) = 3668785464
Least Common Multiple of 60568 and 60573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60568 and 60573, than apply into the LCM equation.
GCF(60568,60573) = 1
LCM(60568,60573) = ( 60568 × 60573) / 1
LCM(60568,60573) = 3668785464 / 1
LCM(60568,60573) = 3668785464
Least Common Multiple (LCM) of 60568 and 60573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60568 and 60573. First we will calculate the prime factors of 60568 and 60573.
Prime Factorization of 60568
Prime factors of 60568 are 2, 67, 113. Prime factorization of 60568 in exponential form is:
60568 = 23 × 671 × 1131
Prime Factorization of 60573
Prime factors of 60573 are 3, 61, 331. Prime factorization of 60573 in exponential form is:
60573 = 31 × 611 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 60568 and 60573.
LCM(60568,60573) = 23 × 671 × 1131 × 31 × 611 × 3311
LCM(60568,60573) = 3668785464
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