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What is the Least Common Multiple of 49649 and 49660?

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 49649 and 49660 is 2465569340.

LCM(49649,49660) = 2465569340

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Least Common Multiple of 49649 and 49660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49649 and 49660, than apply into the LCM equation.

GCF(49649,49660) = 1
LCM(49649,49660) = ( 49649 × 49660) / 1
LCM(49649,49660) = 2465569340 / 1
LCM(49649,49660) = 2465569340

Least Common Multiple (LCM) of 49649 and 49660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49649 and 49660. First we will calculate the prime factors of 49649 and 49660.

Prime Factorization of 49649

Prime factors of 49649 are 131, 379. Prime factorization of 49649 in exponential form is:

49649 = 1311 × 3791

Prime Factorization of 49660

Prime factors of 49660 are 2, 5, 13, 191. Prime factorization of 49660 in exponential form is:

49660 = 22 × 51 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 49649 and 49660.

LCM(49649,49660) = 1311 × 3791 × 22 × 51 × 131 × 1911
LCM(49649,49660) = 2465569340