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What is the Least Common Multiple of 32934 and 32939?

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 32934 and 32939 is 1084813026.

LCM(32934,32939) = 1084813026

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Least Common Multiple of 32934 and 32939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32934 and 32939, than apply into the LCM equation.

GCF(32934,32939) = 1
LCM(32934,32939) = ( 32934 × 32939) / 1
LCM(32934,32939) = 1084813026 / 1
LCM(32934,32939) = 1084813026

Least Common Multiple (LCM) of 32934 and 32939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32934 and 32939. First we will calculate the prime factors of 32934 and 32939.

Prime Factorization of 32934

Prime factors of 32934 are 2, 3, 11, 499. Prime factorization of 32934 in exponential form is:

32934 = 21 × 31 × 111 × 4991

Prime Factorization of 32939

Prime factors of 32939 are 32939. Prime factorization of 32939 in exponential form is:

32939 = 329391

Now multiplying the highest exponent prime factors to calculate the LCM of 32934 and 32939.

LCM(32934,32939) = 21 × 31 × 111 × 4991 × 329391
LCM(32934,32939) = 1084813026