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What is the Least Common Multiple of 10940 and 10950?

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 10940 and 10950 is 11979300.

LCM(10940,10950) = 11979300

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Least Common Multiple of 10940 and 10950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10940 and 10950, than apply into the LCM equation.

GCF(10940,10950) = 10
LCM(10940,10950) = ( 10940 × 10950) / 10
LCM(10940,10950) = 119793000 / 10
LCM(10940,10950) = 11979300

Least Common Multiple (LCM) of 10940 and 10950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10940 and 10950. First we will calculate the prime factors of 10940 and 10950.

Prime Factorization of 10940

Prime factors of 10940 are 2, 5, 547. Prime factorization of 10940 in exponential form is:

10940 = 22 × 51 × 5471

Prime Factorization of 10950

Prime factors of 10950 are 2, 3, 5, 73. Prime factorization of 10950 in exponential form is:

10950 = 21 × 31 × 52 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 10940 and 10950.

LCM(10940,10950) = 22 × 52 × 5471 × 31 × 731
LCM(10940,10950) = 11979300