What is the Least Common Multiple of 62841 and 62845?
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 62841 and 62845 is 3949242645.
LCM(62841,62845) = 3949242645
Least Common Multiple of 62841 and 62845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62841 and 62845, than apply into the LCM equation.
GCF(62841,62845) = 1
LCM(62841,62845) = ( 62841 × 62845) / 1
LCM(62841,62845) = 3949242645 / 1
LCM(62841,62845) = 3949242645
Least Common Multiple (LCM) of 62841 and 62845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62841 and 62845. First we will calculate the prime factors of 62841 and 62845.
Prime Factorization of 62841
Prime factors of 62841 are 3, 20947. Prime factorization of 62841 in exponential form is:
62841 = 31 × 209471
Prime Factorization of 62845
Prime factors of 62845 are 5, 12569. Prime factorization of 62845 in exponential form is:
62845 = 51 × 125691
Now multiplying the highest exponent prime factors to calculate the LCM of 62841 and 62845.
LCM(62841,62845) = 31 × 209471 × 51 × 125691
LCM(62841,62845) = 3949242645
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