What is the Least Common Multiple of 62393 and 62402?
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 62393 and 62402 is 3893447986.
LCM(62393,62402) = 3893447986
Least Common Multiple of 62393 and 62402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62393 and 62402, than apply into the LCM equation.
GCF(62393,62402) = 1
LCM(62393,62402) = ( 62393 × 62402) / 1
LCM(62393,62402) = 3893447986 / 1
LCM(62393,62402) = 3893447986
Least Common Multiple (LCM) of 62393 and 62402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62393 and 62402. First we will calculate the prime factors of 62393 and 62402.
Prime Factorization of 62393
Prime factors of 62393 are 43, 1451. Prime factorization of 62393 in exponential form is:
62393 = 431 × 14511
Prime Factorization of 62402
Prime factors of 62402 are 2, 41, 761. Prime factorization of 62402 in exponential form is:
62402 = 21 × 411 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 62393 and 62402.
LCM(62393,62402) = 431 × 14511 × 21 × 411 × 7611
LCM(62393,62402) = 3893447986
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