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What is the Least Common Multiple of 26890 and 26910?

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 26890 and 26910 is 72360990.

LCM(26890,26910) = 72360990

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Least Common Multiple of 26890 and 26910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26890 and 26910, than apply into the LCM equation.

GCF(26890,26910) = 10
LCM(26890,26910) = ( 26890 × 26910) / 10
LCM(26890,26910) = 723609900 / 10
LCM(26890,26910) = 72360990

Least Common Multiple (LCM) of 26890 and 26910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26890 and 26910. First we will calculate the prime factors of 26890 and 26910.

Prime Factorization of 26890

Prime factors of 26890 are 2, 5, 2689. Prime factorization of 26890 in exponential form is:

26890 = 21 × 51 × 26891

Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 21 × 32 × 51 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 26890 and 26910.

LCM(26890,26910) = 21 × 51 × 26891 × 32 × 131 × 231
LCM(26890,26910) = 72360990