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What is the Least Common Multiple of 62379 and 62388?

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 62379 and 62388 is 432411228.

LCM(62379,62388) = 432411228

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Least Common Multiple of 62379 and 62388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62379 and 62388, than apply into the LCM equation.

GCF(62379,62388) = 9
LCM(62379,62388) = ( 62379 × 62388) / 9
LCM(62379,62388) = 3891701052 / 9
LCM(62379,62388) = 432411228

Least Common Multiple (LCM) of 62379 and 62388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62379 and 62388. First we will calculate the prime factors of 62379 and 62388.

Prime Factorization of 62379

Prime factors of 62379 are 3, 29, 239. Prime factorization of 62379 in exponential form is:

62379 = 32 × 291 × 2391

Prime Factorization of 62388

Prime factors of 62388 are 2, 3, 1733. Prime factorization of 62388 in exponential form is:

62388 = 22 × 32 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 62379 and 62388.

LCM(62379,62388) = 32 × 291 × 2391 × 22 × 17331
LCM(62379,62388) = 432411228