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What is the Least Common Multiple of 49483 and 49495?

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 49483 and 49495 is 2449161085.

LCM(49483,49495) = 2449161085

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Least Common Multiple of 49483 and 49495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49483 and 49495, than apply into the LCM equation.

GCF(49483,49495) = 1
LCM(49483,49495) = ( 49483 × 49495) / 1
LCM(49483,49495) = 2449161085 / 1
LCM(49483,49495) = 2449161085

Least Common Multiple (LCM) of 49483 and 49495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49483 and 49495. First we will calculate the prime factors of 49483 and 49495.

Prime Factorization of 49483

Prime factors of 49483 are 7, 7069. Prime factorization of 49483 in exponential form is:

49483 = 71 × 70691

Prime Factorization of 49495

Prime factors of 49495 are 5, 19, 521. Prime factorization of 49495 in exponential form is:

49495 = 51 × 191 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 49483 and 49495.

LCM(49483,49495) = 71 × 70691 × 51 × 191 × 5211
LCM(49483,49495) = 2449161085