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What is the Least Common Multiple of 26670 and 26689?

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 26670 and 26689 is 711795630.

LCM(26670,26689) = 711795630

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Least Common Multiple of 26670 and 26689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26670 and 26689, than apply into the LCM equation.

GCF(26670,26689) = 1
LCM(26670,26689) = ( 26670 × 26689) / 1
LCM(26670,26689) = 711795630 / 1
LCM(26670,26689) = 711795630

Least Common Multiple (LCM) of 26670 and 26689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26670 and 26689. First we will calculate the prime factors of 26670 and 26689.

Prime Factorization of 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 21 × 31 × 51 × 71 × 1271

Prime Factorization of 26689

Prime factors of 26689 are 13, 2053. Prime factorization of 26689 in exponential form is:

26689 = 131 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 26670 and 26689.

LCM(26670,26689) = 21 × 31 × 51 × 71 × 1271 × 131 × 20531
LCM(26670,26689) = 711795630