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What is the Least Common Multiple of 62445 and 62462?

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 62445 and 62462 is 3900439590.

LCM(62445,62462) = 3900439590

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Least Common Multiple of 62445 and 62462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62445 and 62462, than apply into the LCM equation.

GCF(62445,62462) = 1
LCM(62445,62462) = ( 62445 × 62462) / 1
LCM(62445,62462) = 3900439590 / 1
LCM(62445,62462) = 3900439590

Least Common Multiple (LCM) of 62445 and 62462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62445 and 62462. First we will calculate the prime factors of 62445 and 62462.

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

Prime Factorization of 62462

Prime factors of 62462 are 2, 31231. Prime factorization of 62462 in exponential form is:

62462 = 21 × 312311

Now multiplying the highest exponent prime factors to calculate the LCM of 62445 and 62462.

LCM(62445,62462) = 31 × 51 × 231 × 1811 × 21 × 312311
LCM(62445,62462) = 3900439590