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What is the Least Common Multiple of 62411 and 62428?

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 62411 and 62428 is 3896193908.

LCM(62411,62428) = 3896193908

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Least Common Multiple of 62411 and 62428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62411 and 62428, than apply into the LCM equation.

GCF(62411,62428) = 1
LCM(62411,62428) = ( 62411 × 62428) / 1
LCM(62411,62428) = 3896193908 / 1
LCM(62411,62428) = 3896193908

Least Common Multiple (LCM) of 62411 and 62428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62411 and 62428. First we will calculate the prime factors of 62411 and 62428.

Prime Factorization of 62411

Prime factors of 62411 are 139, 449. Prime factorization of 62411 in exponential form is:

62411 = 1391 × 4491

Prime Factorization of 62428

Prime factors of 62428 are 2, 15607. Prime factorization of 62428 in exponential form is:

62428 = 22 × 156071

Now multiplying the highest exponent prime factors to calculate the LCM of 62411 and 62428.

LCM(62411,62428) = 1391 × 4491 × 22 × 156071
LCM(62411,62428) = 3896193908