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What is the Least Common Multiple of 49835 and 49844?

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 49835 and 49844 is 2483975740.

LCM(49835,49844) = 2483975740

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Least Common Multiple of 49835 and 49844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49835 and 49844, than apply into the LCM equation.

GCF(49835,49844) = 1
LCM(49835,49844) = ( 49835 × 49844) / 1
LCM(49835,49844) = 2483975740 / 1
LCM(49835,49844) = 2483975740

Least Common Multiple (LCM) of 49835 and 49844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49835 and 49844. First we will calculate the prime factors of 49835 and 49844.

Prime Factorization of 49835

Prime factors of 49835 are 5, 9967. Prime factorization of 49835 in exponential form is:

49835 = 51 × 99671

Prime Factorization of 49844

Prime factors of 49844 are 2, 17, 733. Prime factorization of 49844 in exponential form is:

49844 = 22 × 171 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 49835 and 49844.

LCM(49835,49844) = 51 × 99671 × 22 × 171 × 7331
LCM(49835,49844) = 2483975740