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What is the Least Common Multiple of 26190 and 26209?

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 26190 and 26209 is 686413710.

LCM(26190,26209) = 686413710

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Least Common Multiple of 26190 and 26209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26190 and 26209, than apply into the LCM equation.

GCF(26190,26209) = 1
LCM(26190,26209) = ( 26190 × 26209) / 1
LCM(26190,26209) = 686413710 / 1
LCM(26190,26209) = 686413710

Least Common Multiple (LCM) of 26190 and 26209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26190 and 26209. First we will calculate the prime factors of 26190 and 26209.

Prime Factorization of 26190

Prime factors of 26190 are 2, 3, 5, 97. Prime factorization of 26190 in exponential form is:

26190 = 21 × 33 × 51 × 971

Prime Factorization of 26209

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

26209 = 262091

Now multiplying the highest exponent prime factors to calculate the LCM of 26190 and 26209.

LCM(26190,26209) = 21 × 33 × 51 × 971 × 262091
LCM(26190,26209) = 686413710