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What is the Least Common Multiple of 26934 and 26939?

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 26934 and 26939 is 725575026.

LCM(26934,26939) = 725575026

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Least Common Multiple of 26934 and 26939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26934 and 26939, than apply into the LCM equation.

GCF(26934,26939) = 1
LCM(26934,26939) = ( 26934 × 26939) / 1
LCM(26934,26939) = 725575026 / 1
LCM(26934,26939) = 725575026

Least Common Multiple (LCM) of 26934 and 26939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26934 and 26939. First we will calculate the prime factors of 26934 and 26939.

Prime Factorization of 26934

Prime factors of 26934 are 2, 3, 67. Prime factorization of 26934 in exponential form is:

26934 = 21 × 31 × 672

Prime Factorization of 26939

Prime factors of 26939 are 11, 31, 79. Prime factorization of 26939 in exponential form is:

26939 = 111 × 311 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26934 and 26939.

LCM(26934,26939) = 21 × 31 × 672 × 111 × 311 × 791
LCM(26934,26939) = 725575026