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What is the Least Common Multiple of 26912 and 26927?

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 26912 and 26927 is 724659424.

LCM(26912,26927) = 724659424

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Least Common Multiple of 26912 and 26927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26912 and 26927, than apply into the LCM equation.

GCF(26912,26927) = 1
LCM(26912,26927) = ( 26912 × 26927) / 1
LCM(26912,26927) = 724659424 / 1
LCM(26912,26927) = 724659424

Least Common Multiple (LCM) of 26912 and 26927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26912 and 26927. First we will calculate the prime factors of 26912 and 26927.

Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 25 × 292

Prime Factorization of 26927

Prime factors of 26927 are 26927. Prime factorization of 26927 in exponential form is:

26927 = 269271

Now multiplying the highest exponent prime factors to calculate the LCM of 26912 and 26927.

LCM(26912,26927) = 25 × 292 × 269271
LCM(26912,26927) = 724659424