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What is the Least Common Multiple of 26643 and 26652?

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 26643 and 26652 is 236696412.

LCM(26643,26652) = 236696412

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Least Common Multiple of 26643 and 26652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26643 and 26652, than apply into the LCM equation.

GCF(26643,26652) = 3
LCM(26643,26652) = ( 26643 × 26652) / 3
LCM(26643,26652) = 710089236 / 3
LCM(26643,26652) = 236696412

Least Common Multiple (LCM) of 26643 and 26652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26643 and 26652. First we will calculate the prime factors of 26643 and 26652.

Prime Factorization of 26643

Prime factors of 26643 are 3, 83, 107. Prime factorization of 26643 in exponential form is:

26643 = 31 × 831 × 1071

Prime Factorization of 26652

Prime factors of 26652 are 2, 3, 2221. Prime factorization of 26652 in exponential form is:

26652 = 22 × 31 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 26643 and 26652.

LCM(26643,26652) = 31 × 831 × 1071 × 22 × 22211
LCM(26643,26652) = 236696412