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What is the Least Common Multiple of 49063 and 49067?

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 49063 and 49067 is 2407374221.

LCM(49063,49067) = 2407374221

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Least Common Multiple of 49063 and 49067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49063 and 49067, than apply into the LCM equation.

GCF(49063,49067) = 1
LCM(49063,49067) = ( 49063 × 49067) / 1
LCM(49063,49067) = 2407374221 / 1
LCM(49063,49067) = 2407374221

Least Common Multiple (LCM) of 49063 and 49067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49063 and 49067. First we will calculate the prime factors of 49063 and 49067.

Prime Factorization of 49063

Prime factors of 49063 are 7, 43, 163. Prime factorization of 49063 in exponential form is:

49063 = 71 × 431 × 1631

Prime Factorization of 49067

Prime factors of 49067 are 139, 353. Prime factorization of 49067 in exponential form is:

49067 = 1391 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 49063 and 49067.

LCM(49063,49067) = 71 × 431 × 1631 × 1391 × 3531
LCM(49063,49067) = 2407374221