What is the Least Common Multiple of 62661 and 62681?
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 62661 and 62681 is 3927654141.
LCM(62661,62681) = 3927654141
Least Common Multiple of 62661 and 62681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62661 and 62681, than apply into the LCM equation.
GCF(62661,62681) = 1
LCM(62661,62681) = ( 62661 × 62681) / 1
LCM(62661,62681) = 3927654141 / 1
LCM(62661,62681) = 3927654141
Least Common Multiple (LCM) of 62661 and 62681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62661 and 62681. First we will calculate the prime factors of 62661 and 62681.
Prime Factorization of 62661
Prime factors of 62661 are 3, 20887. Prime factorization of 62661 in exponential form is:
62661 = 31 × 208871
Prime Factorization of 62681
Prime factors of 62681 are 19, 3299. Prime factorization of 62681 in exponential form is:
62681 = 191 × 32991
Now multiplying the highest exponent prime factors to calculate the LCM of 62661 and 62681.
LCM(62661,62681) = 31 × 208871 × 191 × 32991
LCM(62661,62681) = 3927654141
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