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What is the Least Common Multiple of 6836 and 6850?

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 6836 and 6850 is 23413300.

LCM(6836,6850) = 23413300

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Least Common Multiple of 6836 and 6850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6836 and 6850, than apply into the LCM equation.

GCF(6836,6850) = 2
LCM(6836,6850) = ( 6836 × 6850) / 2
LCM(6836,6850) = 46826600 / 2
LCM(6836,6850) = 23413300

Least Common Multiple (LCM) of 6836 and 6850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6836 and 6850. First we will calculate the prime factors of 6836 and 6850.

Prime Factorization of 6836

Prime factors of 6836 are 2, 1709. Prime factorization of 6836 in exponential form is:

6836 = 22 × 17091

Prime Factorization of 6850

Prime factors of 6850 are 2, 5, 137. Prime factorization of 6850 in exponential form is:

6850 = 21 × 52 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6836 and 6850.

LCM(6836,6850) = 22 × 17091 × 52 × 1371
LCM(6836,6850) = 23413300