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What is the Least Common Multiple of 52846 and 52850?

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 52846 and 52850 is 1396455550.

LCM(52846,52850) = 1396455550

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Least Common Multiple of 52846 and 52850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52846 and 52850, than apply into the LCM equation.

GCF(52846,52850) = 2
LCM(52846,52850) = ( 52846 × 52850) / 2
LCM(52846,52850) = 2792911100 / 2
LCM(52846,52850) = 1396455550

Least Common Multiple (LCM) of 52846 and 52850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52846 and 52850. First we will calculate the prime factors of 52846 and 52850.

Prime Factorization of 52846

Prime factors of 52846 are 2, 26423. Prime factorization of 52846 in exponential form is:

52846 = 21 × 264231

Prime Factorization of 52850

Prime factors of 52850 are 2, 5, 7, 151. Prime factorization of 52850 in exponential form is:

52850 = 21 × 52 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 52846 and 52850.

LCM(52846,52850) = 21 × 264231 × 52 × 71 × 1511
LCM(52846,52850) = 1396455550