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What is the Least Common Multiple of 26933 and 26940?

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 26933 and 26940 is 725575020.

LCM(26933,26940) = 725575020

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Least Common Multiple of 26933 and 26940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26933 and 26940, than apply into the LCM equation.

GCF(26933,26940) = 1
LCM(26933,26940) = ( 26933 × 26940) / 1
LCM(26933,26940) = 725575020 / 1
LCM(26933,26940) = 725575020

Least Common Multiple (LCM) of 26933 and 26940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26933 and 26940. First we will calculate the prime factors of 26933 and 26940.

Prime Factorization of 26933

Prime factors of 26933 are 23, 1171. Prime factorization of 26933 in exponential form is:

26933 = 231 × 11711

Prime Factorization of 26940

Prime factors of 26940 are 2, 3, 5, 449. Prime factorization of 26940 in exponential form is:

26940 = 22 × 31 × 51 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 26933 and 26940.

LCM(26933,26940) = 231 × 11711 × 22 × 31 × 51 × 4491
LCM(26933,26940) = 725575020