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What is the Least Common Multiple of 62429 and 62434?

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 62429 and 62434 is 3897692186.

LCM(62429,62434) = 3897692186

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Least Common Multiple of 62429 and 62434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62429 and 62434, than apply into the LCM equation.

GCF(62429,62434) = 1
LCM(62429,62434) = ( 62429 × 62434) / 1
LCM(62429,62434) = 3897692186 / 1
LCM(62429,62434) = 3897692186

Least Common Multiple (LCM) of 62429 and 62434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62429 and 62434. First we will calculate the prime factors of 62429 and 62434.

Prime Factorization of 62429

Prime factors of 62429 are 163, 383. Prime factorization of 62429 in exponential form is:

62429 = 1631 × 3831

Prime Factorization of 62434

Prime factors of 62434 are 2, 19, 31, 53. Prime factorization of 62434 in exponential form is:

62434 = 21 × 191 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 62429 and 62434.

LCM(62429,62434) = 1631 × 3831 × 21 × 191 × 311 × 531
LCM(62429,62434) = 3897692186