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What is the Least Common Multiple of 26685 and 26690?

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 26685 and 26690 is 142444530.

LCM(26685,26690) = 142444530

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Least Common Multiple of 26685 and 26690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26685 and 26690, than apply into the LCM equation.

GCF(26685,26690) = 5
LCM(26685,26690) = ( 26685 × 26690) / 5
LCM(26685,26690) = 712222650 / 5
LCM(26685,26690) = 142444530

Least Common Multiple (LCM) of 26685 and 26690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26685 and 26690. First we will calculate the prime factors of 26685 and 26690.

Prime Factorization of 26685

Prime factors of 26685 are 3, 5, 593. Prime factorization of 26685 in exponential form is:

26685 = 32 × 51 × 5931

Prime Factorization of 26690

Prime factors of 26690 are 2, 5, 17, 157. Prime factorization of 26690 in exponential form is:

26690 = 21 × 51 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 26685 and 26690.

LCM(26685,26690) = 32 × 51 × 5931 × 21 × 171 × 1571
LCM(26685,26690) = 142444530