What is the Least Common Multiple of 60439 and 60452?
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 60439 and 60452 is 3653658428.
LCM(60439,60452) = 3653658428
Least Common Multiple of 60439 and 60452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60439 and 60452, than apply into the LCM equation.
GCF(60439,60452) = 1
LCM(60439,60452) = ( 60439 × 60452) / 1
LCM(60439,60452) = 3653658428 / 1
LCM(60439,60452) = 3653658428
Least Common Multiple (LCM) of 60439 and 60452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60439 and 60452. First we will calculate the prime factors of 60439 and 60452.
Prime Factorization of 60439
Prime factors of 60439 are 19, 3181. Prime factorization of 60439 in exponential form is:
60439 = 191 × 31811
Prime Factorization of 60452
Prime factors of 60452 are 2, 7, 17, 127. Prime factorization of 60452 in exponential form is:
60452 = 22 × 71 × 171 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 60439 and 60452.
LCM(60439,60452) = 191 × 31811 × 22 × 71 × 171 × 1271
LCM(60439,60452) = 3653658428
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