What is the Least Common Multiple of 62386 and 62393?
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 62386 and 62393 is 3892449698.
LCM(62386,62393) = 3892449698
Least Common Multiple of 62386 and 62393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62386 and 62393, than apply into the LCM equation.
GCF(62386,62393) = 1
LCM(62386,62393) = ( 62386 × 62393) / 1
LCM(62386,62393) = 3892449698 / 1
LCM(62386,62393) = 3892449698
Least Common Multiple (LCM) of 62386 and 62393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62386 and 62393. First we will calculate the prime factors of 62386 and 62393.
Prime Factorization of 62386
Prime factors of 62386 are 2, 31193. Prime factorization of 62386 in exponential form is:
62386 = 21 × 311931
Prime Factorization of 62393
Prime factors of 62393 are 43, 1451. Prime factorization of 62393 in exponential form is:
62393 = 431 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 62386 and 62393.
LCM(62386,62393) = 21 × 311931 × 431 × 14511
LCM(62386,62393) = 3892449698
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