What is the Least Common Multiple of 62482 and 62502?
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 62482 and 62502 is 1952624982.
LCM(62482,62502) = 1952624982
Least Common Multiple of 62482 and 62502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62482 and 62502, than apply into the LCM equation.
GCF(62482,62502) = 2
LCM(62482,62502) = ( 62482 × 62502) / 2
LCM(62482,62502) = 3905249964 / 2
LCM(62482,62502) = 1952624982
Least Common Multiple (LCM) of 62482 and 62502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62482 and 62502. First we will calculate the prime factors of 62482 and 62502.
Prime Factorization of 62482
Prime factors of 62482 are 2, 7, 4463. Prime factorization of 62482 in exponential form is:
62482 = 21 × 71 × 44631
Prime Factorization of 62502
Prime factors of 62502 are 2, 3, 11, 947. Prime factorization of 62502 in exponential form is:
62502 = 21 × 31 × 111 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 62482 and 62502.
LCM(62482,62502) = 21 × 71 × 44631 × 31 × 111 × 9471
LCM(62482,62502) = 1952624982
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