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What is the Least Common Multiple of 62428 and 62438?

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 62428 and 62438 is 1948939732.

LCM(62428,62438) = 1948939732

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Least Common Multiple of 62428 and 62438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62428 and 62438, than apply into the LCM equation.

GCF(62428,62438) = 2
LCM(62428,62438) = ( 62428 × 62438) / 2
LCM(62428,62438) = 3897879464 / 2
LCM(62428,62438) = 1948939732

Least Common Multiple (LCM) of 62428 and 62438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62428 and 62438. First we will calculate the prime factors of 62428 and 62438.

Prime Factorization of 62428

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

62428 = 22 × 156071

Prime Factorization of 62438

Prime factors of 62438 are 2, 31219. Prime factorization of 62438 in exponential form is:

62438 = 21 × 312191

Now multiplying the highest exponent prime factors to calculate the LCM of 62428 and 62438.

LCM(62428,62438) = 22 × 156071 × 312191
LCM(62428,62438) = 1948939732