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What is the Least Common Multiple of 10919 and 10938?

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 10919 and 10938 is 119432022.

LCM(10919,10938) = 119432022

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Least Common Multiple of 10919 and 10938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10919 and 10938, than apply into the LCM equation.

GCF(10919,10938) = 1
LCM(10919,10938) = ( 10919 × 10938) / 1
LCM(10919,10938) = 119432022 / 1
LCM(10919,10938) = 119432022

Least Common Multiple (LCM) of 10919 and 10938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10919 and 10938. First we will calculate the prime factors of 10919 and 10938.

Prime Factorization of 10919

Prime factors of 10919 are 61, 179. Prime factorization of 10919 in exponential form is:

10919 = 611 × 1791

Prime Factorization of 10938

Prime factors of 10938 are 2, 3, 1823. Prime factorization of 10938 in exponential form is:

10938 = 21 × 31 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 10919 and 10938.

LCM(10919,10938) = 611 × 1791 × 21 × 31 × 18231
LCM(10919,10938) = 119432022