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What is the Least Common Multiple of 62431 and 62445?

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 62431 and 62445 is 3898503795.

LCM(62431,62445) = 3898503795

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Least Common Multiple of 62431 and 62445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62431 and 62445, than apply into the LCM equation.

GCF(62431,62445) = 1
LCM(62431,62445) = ( 62431 × 62445) / 1
LCM(62431,62445) = 3898503795 / 1
LCM(62431,62445) = 3898503795

Least Common Multiple (LCM) of 62431 and 62445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62431 and 62445. First we will calculate the prime factors of 62431 and 62445.

Prime Factorization of 62431

Prime factors of 62431 are 149, 419. Prime factorization of 62431 in exponential form is:

62431 = 1491 × 4191

Prime Factorization of 62445

Prime factors of 62445 are 3, 5, 23, 181. Prime factorization of 62445 in exponential form is:

62445 = 31 × 51 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 62431 and 62445.

LCM(62431,62445) = 1491 × 4191 × 31 × 51 × 231 × 1811
LCM(62431,62445) = 3898503795