What is the Least Common Multiple of 62682 and 62701?
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 62682 and 62701 is 3930224082.
LCM(62682,62701) = 3930224082
Least Common Multiple of 62682 and 62701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62682 and 62701, than apply into the LCM equation.
GCF(62682,62701) = 1
LCM(62682,62701) = ( 62682 × 62701) / 1
LCM(62682,62701) = 3930224082 / 1
LCM(62682,62701) = 3930224082
Least Common Multiple (LCM) of 62682 and 62701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62682 and 62701. First we will calculate the prime factors of 62682 and 62701.
Prime Factorization of 62682
Prime factors of 62682 are 2, 3, 31, 337. Prime factorization of 62682 in exponential form is:
62682 = 21 × 31 × 311 × 3371
Prime Factorization of 62701
Prime factors of 62701 are 62701. Prime factorization of 62701 in exponential form is:
62701 = 627011
Now multiplying the highest exponent prime factors to calculate the LCM of 62682 and 62701.
LCM(62682,62701) = 21 × 31 × 311 × 3371 × 627011
LCM(62682,62701) = 3930224082
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