What is the Least Common Multiple of 62470 and 62486?
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 62470 and 62486 is 1951750210.
LCM(62470,62486) = 1951750210
Least Common Multiple of 62470 and 62486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62470 and 62486, than apply into the LCM equation.
GCF(62470,62486) = 2
LCM(62470,62486) = ( 62470 × 62486) / 2
LCM(62470,62486) = 3903500420 / 2
LCM(62470,62486) = 1951750210
Least Common Multiple (LCM) of 62470 and 62486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62470 and 62486. First we will calculate the prime factors of 62470 and 62486.
Prime Factorization of 62470
Prime factors of 62470 are 2, 5, 6247. Prime factorization of 62470 in exponential form is:
62470 = 21 × 51 × 62471
Prime Factorization of 62486
Prime factors of 62486 are 2, 157, 199. Prime factorization of 62486 in exponential form is:
62486 = 21 × 1571 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 62470 and 62486.
LCM(62470,62486) = 21 × 51 × 62471 × 1571 × 1991
LCM(62470,62486) = 1951750210
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