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What is the Least Common Multiple of 40927 and 40942?

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 40927 and 40942 is 1675633234.

LCM(40927,40942) = 1675633234

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Least Common Multiple of 40927 and 40942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40927 and 40942, than apply into the LCM equation.

GCF(40927,40942) = 1
LCM(40927,40942) = ( 40927 × 40942) / 1
LCM(40927,40942) = 1675633234 / 1
LCM(40927,40942) = 1675633234

Least Common Multiple (LCM) of 40927 and 40942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40927 and 40942. First we will calculate the prime factors of 40927 and 40942.

Prime Factorization of 40927

Prime factors of 40927 are 40927. Prime factorization of 40927 in exponential form is:

40927 = 409271

Prime Factorization of 40942

Prime factors of 40942 are 2, 11, 1861. Prime factorization of 40942 in exponential form is:

40942 = 21 × 111 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 40927 and 40942.

LCM(40927,40942) = 409271 × 21 × 111 × 18611
LCM(40927,40942) = 1675633234