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What is the Least Common Multiple of 49548 and 49563?

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 49548 and 49563 is 818582508.

LCM(49548,49563) = 818582508

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Least Common Multiple of 49548 and 49563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49548 and 49563, than apply into the LCM equation.

GCF(49548,49563) = 3
LCM(49548,49563) = ( 49548 × 49563) / 3
LCM(49548,49563) = 2455747524 / 3
LCM(49548,49563) = 818582508

Least Common Multiple (LCM) of 49548 and 49563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49548 and 49563. First we will calculate the prime factors of 49548 and 49563.

Prime Factorization of 49548

Prime factors of 49548 are 2, 3, 4129. Prime factorization of 49548 in exponential form is:

49548 = 22 × 31 × 41291

Prime Factorization of 49563

Prime factors of 49563 are 3, 5507. Prime factorization of 49563 in exponential form is:

49563 = 32 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 49548 and 49563.

LCM(49548,49563) = 22 × 32 × 41291 × 55071
LCM(49548,49563) = 818582508