What is the Least Common Multiple of 62795 and 62812?
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 62795 and 62812 is 3944279540.
LCM(62795,62812) = 3944279540
Least Common Multiple of 62795 and 62812 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62795 and 62812, than apply into the LCM equation.
GCF(62795,62812) = 1
LCM(62795,62812) = ( 62795 × 62812) / 1
LCM(62795,62812) = 3944279540 / 1
LCM(62795,62812) = 3944279540
Least Common Multiple (LCM) of 62795 and 62812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62795 and 62812. First we will calculate the prime factors of 62795 and 62812.
Prime Factorization of 62795
Prime factors of 62795 are 5, 19, 661. Prime factorization of 62795 in exponential form is:
62795 = 51 × 191 × 6611
Prime Factorization of 62812
Prime factors of 62812 are 2, 41, 383. Prime factorization of 62812 in exponential form is:
62812 = 22 × 411 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 62795 and 62812.
LCM(62795,62812) = 51 × 191 × 6611 × 22 × 411 × 3831
LCM(62795,62812) = 3944279540
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