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What is the Least Common Multiple of 42934 and 42939?

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 42934 and 42939 is 1843543026.

LCM(42934,42939) = 1843543026

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Least Common Multiple of 42934 and 42939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42934 and 42939, than apply into the LCM equation.

GCF(42934,42939) = 1
LCM(42934,42939) = ( 42934 × 42939) / 1
LCM(42934,42939) = 1843543026 / 1
LCM(42934,42939) = 1843543026

Least Common Multiple (LCM) of 42934 and 42939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42934 and 42939. First we will calculate the prime factors of 42934 and 42939.

Prime Factorization of 42934

Prime factors of 42934 are 2, 21467. Prime factorization of 42934 in exponential form is:

42934 = 21 × 214671

Prime Factorization of 42939

Prime factors of 42939 are 3, 13, 367. Prime factorization of 42939 in exponential form is:

42939 = 32 × 131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 42934 and 42939.

LCM(42934,42939) = 21 × 214671 × 32 × 131 × 3671
LCM(42934,42939) = 1843543026