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What is the Least Common Multiple of 26220 and 26239?

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 26220 and 26239 is 36209820.

LCM(26220,26239) = 36209820

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Least Common Multiple of 26220 and 26239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26220 and 26239, than apply into the LCM equation.

GCF(26220,26239) = 19
LCM(26220,26239) = ( 26220 × 26239) / 19
LCM(26220,26239) = 687986580 / 19
LCM(26220,26239) = 36209820

Least Common Multiple (LCM) of 26220 and 26239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26220 and 26239. First we will calculate the prime factors of 26220 and 26239.

Prime Factorization of 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 22 × 31 × 51 × 191 × 231

Prime Factorization of 26239

Prime factors of 26239 are 19, 1381. Prime factorization of 26239 in exponential form is:

26239 = 191 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 26220 and 26239.

LCM(26220,26239) = 22 × 31 × 51 × 191 × 231 × 13811
LCM(26220,26239) = 36209820