What is the Least Common Multiple of 60344 and 60363?
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 60344 and 60363 is 191712888.
LCM(60344,60363) = 191712888
Least Common Multiple of 60344 and 60363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60344 and 60363, than apply into the LCM equation.
GCF(60344,60363) = 19
LCM(60344,60363) = ( 60344 × 60363) / 19
LCM(60344,60363) = 3642544872 / 19
LCM(60344,60363) = 191712888
Least Common Multiple (LCM) of 60344 and 60363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60344 and 60363. First we will calculate the prime factors of 60344 and 60363.
Prime Factorization of 60344
Prime factors of 60344 are 2, 19, 397. Prime factorization of 60344 in exponential form is:
60344 = 23 × 191 × 3971
Prime Factorization of 60363
Prime factors of 60363 are 3, 19, 353. Prime factorization of 60363 in exponential form is:
60363 = 32 × 191 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 60344 and 60363.
LCM(60344,60363) = 23 × 191 × 3971 × 32 × 3531
LCM(60344,60363) = 191712888
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