What is the Least Common Multiple of 62187 and 62194?
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 62187 and 62194 is 3867658278.
LCM(62187,62194) = 3867658278
Least Common Multiple of 62187 and 62194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62187 and 62194, than apply into the LCM equation.
GCF(62187,62194) = 1
LCM(62187,62194) = ( 62187 × 62194) / 1
LCM(62187,62194) = 3867658278 / 1
LCM(62187,62194) = 3867658278
Least Common Multiple (LCM) of 62187 and 62194 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62187 and 62194. First we will calculate the prime factors of 62187 and 62194.
Prime Factorization of 62187
Prime factors of 62187 are 3, 19, 1091. Prime factorization of 62187 in exponential form is:
62187 = 31 × 191 × 10911
Prime Factorization of 62194
Prime factors of 62194 are 2, 11, 257. Prime factorization of 62194 in exponential form is:
62194 = 21 × 112 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 62187 and 62194.
LCM(62187,62194) = 31 × 191 × 10911 × 21 × 112 × 2571
LCM(62187,62194) = 3867658278
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