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What is the Least Common Multiple of 42927 and 42935?

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 42927 and 42935 is 1843070745.

LCM(42927,42935) = 1843070745

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Least Common Multiple of 42927 and 42935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42927 and 42935, than apply into the LCM equation.

GCF(42927,42935) = 1
LCM(42927,42935) = ( 42927 × 42935) / 1
LCM(42927,42935) = 1843070745 / 1
LCM(42927,42935) = 1843070745

Least Common Multiple (LCM) of 42927 and 42935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42927 and 42935. First we will calculate the prime factors of 42927 and 42935.

Prime Factorization of 42927

Prime factors of 42927 are 3, 41, 349. Prime factorization of 42927 in exponential form is:

42927 = 31 × 411 × 3491

Prime Factorization of 42935

Prime factors of 42935 are 5, 31, 277. Prime factorization of 42935 in exponential form is:

42935 = 51 × 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 42927 and 42935.

LCM(42927,42935) = 31 × 411 × 3491 × 51 × 311 × 2771
LCM(42927,42935) = 1843070745