What is the Least Common Multiple of 60430 and 60439?
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 60430 and 60439 is 3652328770.
LCM(60430,60439) = 3652328770
Least Common Multiple of 60430 and 60439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60430 and 60439, than apply into the LCM equation.
GCF(60430,60439) = 1
LCM(60430,60439) = ( 60430 × 60439) / 1
LCM(60430,60439) = 3652328770 / 1
LCM(60430,60439) = 3652328770
Least Common Multiple (LCM) of 60430 and 60439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60430 and 60439. First we will calculate the prime factors of 60430 and 60439.
Prime Factorization of 60430
Prime factors of 60430 are 2, 5, 6043. Prime factorization of 60430 in exponential form is:
60430 = 21 × 51 × 60431
Prime Factorization of 60439
Prime factors of 60439 are 19, 3181. Prime factorization of 60439 in exponential form is:
60439 = 191 × 31811
Now multiplying the highest exponent prime factors to calculate the LCM of 60430 and 60439.
LCM(60430,60439) = 21 × 51 × 60431 × 191 × 31811
LCM(60430,60439) = 3652328770
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