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What is the Least Common Multiple of 26685 and 26702?

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 26702 is 712542870.

LCM(26685,26702) = 712542870

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Least Common Multiple of 26685 and 26702 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 26702, than apply into the LCM equation.

GCF(26685,26702) = 1
LCM(26685,26702) = ( 26685 × 26702) / 1
LCM(26685,26702) = 712542870 / 1
LCM(26685,26702) = 712542870

Least Common Multiple (LCM) of 26685 and 26702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26685 and 26702. First we will calculate the prime factors of 26685 and 26702.

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 26702

Prime factors of 26702 are 2, 13, 79. Prime factorization of 26702 in exponential form is:

26702 = 21 × 132 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26685 and 26702.

LCM(26685,26702) = 32 × 51 × 5931 × 21 × 132 × 791
LCM(26685,26702) = 712542870