What is the Least Common Multiple of 60431 and 60437?
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 60431 and 60437 is 3652268347.
LCM(60431,60437) = 3652268347
Least Common Multiple of 60431 and 60437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60431 and 60437, than apply into the LCM equation.
GCF(60431,60437) = 1
LCM(60431,60437) = ( 60431 × 60437) / 1
LCM(60431,60437) = 3652268347 / 1
LCM(60431,60437) = 3652268347
Least Common Multiple (LCM) of 60431 and 60437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60431 and 60437. First we will calculate the prime factors of 60431 and 60437.
Prime Factorization of 60431
Prime factors of 60431 are 7, 89, 97. Prime factorization of 60431 in exponential form is:
60431 = 71 × 891 × 971
Prime Factorization of 60437
Prime factors of 60437 are 13, 4649. Prime factorization of 60437 in exponential form is:
60437 = 131 × 46491
Now multiplying the highest exponent prime factors to calculate the LCM of 60431 and 60437.
LCM(60431,60437) = 71 × 891 × 971 × 131 × 46491
LCM(60431,60437) = 3652268347
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