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What is the Least Common Multiple of 26653 and 26663?

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 26653 and 26663 is 710648939.

LCM(26653,26663) = 710648939

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Least Common Multiple of 26653 and 26663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26653 and 26663, than apply into the LCM equation.

GCF(26653,26663) = 1
LCM(26653,26663) = ( 26653 × 26663) / 1
LCM(26653,26663) = 710648939 / 1
LCM(26653,26663) = 710648939

Least Common Multiple (LCM) of 26653 and 26663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26653 and 26663. First we will calculate the prime factors of 26653 and 26663.

Prime Factorization of 26653

Prime factors of 26653 are 11, 2423. Prime factorization of 26653 in exponential form is:

26653 = 111 × 24231

Prime Factorization of 26663

Prime factors of 26663 are 7, 13, 293. Prime factorization of 26663 in exponential form is:

26663 = 71 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 26653 and 26663.

LCM(26653,26663) = 111 × 24231 × 71 × 131 × 2931
LCM(26653,26663) = 710648939