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What is the Least Common Multiple of 62879 and 62886?

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 62879 and 62886 is 3954208794.

LCM(62879,62886) = 3954208794

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Least Common Multiple of 62879 and 62886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62879 and 62886, than apply into the LCM equation.

GCF(62879,62886) = 1
LCM(62879,62886) = ( 62879 × 62886) / 1
LCM(62879,62886) = 3954208794 / 1
LCM(62879,62886) = 3954208794

Least Common Multiple (LCM) of 62879 and 62886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62879 and 62886. First we will calculate the prime factors of 62879 and 62886.

Prime Factorization of 62879

Prime factors of 62879 are 227, 277. Prime factorization of 62879 in exponential form is:

62879 = 2271 × 2771

Prime Factorization of 62886

Prime factors of 62886 are 2, 3, 47, 223. Prime factorization of 62886 in exponential form is:

62886 = 21 × 31 × 471 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 62879 and 62886.

LCM(62879,62886) = 2271 × 2771 × 21 × 31 × 471 × 2231
LCM(62879,62886) = 3954208794