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What is the Least Common Multiple of 26850 and 26861?

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 26850 and 26861 is 721217850.

LCM(26850,26861) = 721217850

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Least Common Multiple of 26850 and 26861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26850 and 26861, than apply into the LCM equation.

GCF(26850,26861) = 1
LCM(26850,26861) = ( 26850 × 26861) / 1
LCM(26850,26861) = 721217850 / 1
LCM(26850,26861) = 721217850

Least Common Multiple (LCM) of 26850 and 26861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26850 and 26861. First we will calculate the prime factors of 26850 and 26861.

Prime Factorization of 26850

Prime factors of 26850 are 2, 3, 5, 179. Prime factorization of 26850 in exponential form is:

26850 = 21 × 31 × 52 × 1791

Prime Factorization of 26861

Prime factors of 26861 are 26861. Prime factorization of 26861 in exponential form is:

26861 = 268611

Now multiplying the highest exponent prime factors to calculate the LCM of 26850 and 26861.

LCM(26850,26861) = 21 × 31 × 52 × 1791 × 268611
LCM(26850,26861) = 721217850