What is the Least Common Multiple of 62329 and 62345?
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 62329 and 62345 is 3885901505.
LCM(62329,62345) = 3885901505
Least Common Multiple of 62329 and 62345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62329 and 62345, than apply into the LCM equation.
GCF(62329,62345) = 1
LCM(62329,62345) = ( 62329 × 62345) / 1
LCM(62329,62345) = 3885901505 / 1
LCM(62329,62345) = 3885901505
Least Common Multiple (LCM) of 62329 and 62345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62329 and 62345. First we will calculate the prime factors of 62329 and 62345.
Prime Factorization of 62329
Prime factors of 62329 are 157, 397. Prime factorization of 62329 in exponential form is:
62329 = 1571 × 3971
Prime Factorization of 62345
Prime factors of 62345 are 5, 37, 337. Prime factorization of 62345 in exponential form is:
62345 = 51 × 371 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 62329 and 62345.
LCM(62329,62345) = 1571 × 3971 × 51 × 371 × 3371
LCM(62329,62345) = 3885901505
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