What is the Least Common Multiple of 62343 and 62362?
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 62343 and 62362 is 3887834166.
LCM(62343,62362) = 3887834166
Least Common Multiple of 62343 and 62362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62343 and 62362, than apply into the LCM equation.
GCF(62343,62362) = 1
LCM(62343,62362) = ( 62343 × 62362) / 1
LCM(62343,62362) = 3887834166 / 1
LCM(62343,62362) = 3887834166
Least Common Multiple (LCM) of 62343 and 62362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62343 and 62362. First we will calculate the prime factors of 62343 and 62362.
Prime Factorization of 62343
Prime factors of 62343 are 3, 2309. Prime factorization of 62343 in exponential form is:
62343 = 33 × 23091
Prime Factorization of 62362
Prime factors of 62362 are 2, 31181. Prime factorization of 62362 in exponential form is:
62362 = 21 × 311811
Now multiplying the highest exponent prime factors to calculate the LCM of 62343 and 62362.
LCM(62343,62362) = 33 × 23091 × 21 × 311811
LCM(62343,62362) = 3887834166
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