What is the Least Common Multiple of 62486 and 62490?
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 62486 and 62490 is 1952375070.
LCM(62486,62490) = 1952375070
Least Common Multiple of 62486 and 62490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62486 and 62490, than apply into the LCM equation.
GCF(62486,62490) = 2
LCM(62486,62490) = ( 62486 × 62490) / 2
LCM(62486,62490) = 3904750140 / 2
LCM(62486,62490) = 1952375070
Least Common Multiple (LCM) of 62486 and 62490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62486 and 62490. First we will calculate the prime factors of 62486 and 62490.
Prime Factorization of 62486
Prime factors of 62486 are 2, 157, 199. Prime factorization of 62486 in exponential form is:
62486 = 21 × 1571 × 1991
Prime Factorization of 62490
Prime factors of 62490 are 2, 3, 5, 2083. Prime factorization of 62490 in exponential form is:
62490 = 21 × 31 × 51 × 20831
Now multiplying the highest exponent prime factors to calculate the LCM of 62486 and 62490.
LCM(62486,62490) = 21 × 1571 × 1991 × 31 × 51 × 20831
LCM(62486,62490) = 1952375070
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