What is the Least Common Multiple of 62686 and 62691?
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 62686 and 62691 is 3929848026.
LCM(62686,62691) = 3929848026
Least Common Multiple of 62686 and 62691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62686 and 62691, than apply into the LCM equation.
GCF(62686,62691) = 1
LCM(62686,62691) = ( 62686 × 62691) / 1
LCM(62686,62691) = 3929848026 / 1
LCM(62686,62691) = 3929848026
Least Common Multiple (LCM) of 62686 and 62691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62686 and 62691. First we will calculate the prime factors of 62686 and 62691.
Prime Factorization of 62686
Prime factors of 62686 are 2, 13, 2411. Prime factorization of 62686 in exponential form is:
62686 = 21 × 131 × 24111
Prime Factorization of 62691
Prime factors of 62691 are 3, 20897. Prime factorization of 62691 in exponential form is:
62691 = 31 × 208971
Now multiplying the highest exponent prime factors to calculate the LCM of 62686 and 62691.
LCM(62686,62691) = 21 × 131 × 24111 × 31 × 208971
LCM(62686,62691) = 3929848026
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