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What is the Least Common Multiple of 49784 and 49804?

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 49784 and 49804 is 619860584.

LCM(49784,49804) = 619860584

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Least Common Multiple of 49784 and 49804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49784 and 49804, than apply into the LCM equation.

GCF(49784,49804) = 4
LCM(49784,49804) = ( 49784 × 49804) / 4
LCM(49784,49804) = 2479442336 / 4
LCM(49784,49804) = 619860584

Least Common Multiple (LCM) of 49784 and 49804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49784 and 49804. First we will calculate the prime factors of 49784 and 49804.

Prime Factorization of 49784

Prime factors of 49784 are 2, 7, 127. Prime factorization of 49784 in exponential form is:

49784 = 23 × 72 × 1271

Prime Factorization of 49804

Prime factors of 49804 are 2, 12451. Prime factorization of 49804 in exponential form is:

49804 = 22 × 124511

Now multiplying the highest exponent prime factors to calculate the LCM of 49784 and 49804.

LCM(49784,49804) = 23 × 72 × 1271 × 124511
LCM(49784,49804) = 619860584