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What is the Least Common Multiple of 26637 and 26644?

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 26637 and 26644 is 709716228.

LCM(26637,26644) = 709716228

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Least Common Multiple of 26637 and 26644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26637 and 26644, than apply into the LCM equation.

GCF(26637,26644) = 1
LCM(26637,26644) = ( 26637 × 26644) / 1
LCM(26637,26644) = 709716228 / 1
LCM(26637,26644) = 709716228

Least Common Multiple (LCM) of 26637 and 26644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26637 and 26644. First we will calculate the prime factors of 26637 and 26644.

Prime Factorization of 26637

Prime factors of 26637 are 3, 13, 683. Prime factorization of 26637 in exponential form is:

26637 = 31 × 131 × 6831

Prime Factorization of 26644

Prime factors of 26644 are 2, 6661. Prime factorization of 26644 in exponential form is:

26644 = 22 × 66611

Now multiplying the highest exponent prime factors to calculate the LCM of 26637 and 26644.

LCM(26637,26644) = 31 × 131 × 6831 × 22 × 66611
LCM(26637,26644) = 709716228