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What is the Least Common Multiple of 26209 and 26220?

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 26209 and 26220 is 687199980.

LCM(26209,26220) = 687199980

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Least Common Multiple of 26209 and 26220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26209 and 26220, than apply into the LCM equation.

GCF(26209,26220) = 1
LCM(26209,26220) = ( 26209 × 26220) / 1
LCM(26209,26220) = 687199980 / 1
LCM(26209,26220) = 687199980

Least Common Multiple (LCM) of 26209 and 26220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26209 and 26220. First we will calculate the prime factors of 26209 and 26220.

Prime Factorization of 26209

Prime factors of 26209 are 26209. Prime factorization of 26209 in exponential form is:

26209 = 262091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26209 and 26220.

LCM(26209,26220) = 262091 × 22 × 31 × 51 × 191 × 231
LCM(26209,26220) = 687199980