What is the Least Common Multiple of 62476 and 62482?
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 62476 and 62482 is 1951812716.
LCM(62476,62482) = 1951812716
Least Common Multiple of 62476 and 62482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62476 and 62482, than apply into the LCM equation.
GCF(62476,62482) = 2
LCM(62476,62482) = ( 62476 × 62482) / 2
LCM(62476,62482) = 3903625432 / 2
LCM(62476,62482) = 1951812716
Least Common Multiple (LCM) of 62476 and 62482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62476 and 62482. First we will calculate the prime factors of 62476 and 62482.
Prime Factorization of 62476
Prime factors of 62476 are 2, 15619. Prime factorization of 62476 in exponential form is:
62476 = 22 × 156191
Prime Factorization of 62482
Prime factors of 62482 are 2, 7, 4463. Prime factorization of 62482 in exponential form is:
62482 = 21 × 71 × 44631
Now multiplying the highest exponent prime factors to calculate the LCM of 62476 and 62482.
LCM(62476,62482) = 22 × 156191 × 71 × 44631
LCM(62476,62482) = 1951812716
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