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What is the Least Common Multiple of 10850 and 10861?

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 10850 and 10861 is 117841850.

LCM(10850,10861) = 117841850

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Least Common Multiple of 10850 and 10861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10850 and 10861, than apply into the LCM equation.

GCF(10850,10861) = 1
LCM(10850,10861) = ( 10850 × 10861) / 1
LCM(10850,10861) = 117841850 / 1
LCM(10850,10861) = 117841850

Least Common Multiple (LCM) of 10850 and 10861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10850 and 10861. First we will calculate the prime factors of 10850 and 10861.

Prime Factorization of 10850

Prime factors of 10850 are 2, 5, 7, 31. Prime factorization of 10850 in exponential form is:

10850 = 21 × 52 × 71 × 311

Prime Factorization of 10861

Prime factors of 10861 are 10861. Prime factorization of 10861 in exponential form is:

10861 = 108611

Now multiplying the highest exponent prime factors to calculate the LCM of 10850 and 10861.

LCM(10850,10861) = 21 × 52 × 71 × 311 × 108611
LCM(10850,10861) = 117841850