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What is the Least Common Multiple of 26634 and 26653?

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 26634 and 26653 is 709876002.

LCM(26634,26653) = 709876002

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Least Common Multiple of 26634 and 26653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26634 and 26653, than apply into the LCM equation.

GCF(26634,26653) = 1
LCM(26634,26653) = ( 26634 × 26653) / 1
LCM(26634,26653) = 709876002 / 1
LCM(26634,26653) = 709876002

Least Common Multiple (LCM) of 26634 and 26653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26634 and 26653. First we will calculate the prime factors of 26634 and 26653.

Prime Factorization of 26634

Prime factors of 26634 are 2, 3, 23, 193. Prime factorization of 26634 in exponential form is:

26634 = 21 × 31 × 231 × 1931

Prime Factorization of 26653

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

26653 = 111 × 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 26634 and 26653.

LCM(26634,26653) = 21 × 31 × 231 × 1931 × 111 × 24231
LCM(26634,26653) = 709876002