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What is the Least Common Multiple of 26210 and 26229?

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 26210 and 26229 is 687462090.

LCM(26210,26229) = 687462090

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Least Common Multiple of 26210 and 26229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26210 and 26229, than apply into the LCM equation.

GCF(26210,26229) = 1
LCM(26210,26229) = ( 26210 × 26229) / 1
LCM(26210,26229) = 687462090 / 1
LCM(26210,26229) = 687462090

Least Common Multiple (LCM) of 26210 and 26229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26210 and 26229. First we will calculate the prime factors of 26210 and 26229.

Prime Factorization of 26210

Prime factors of 26210 are 2, 5, 2621. Prime factorization of 26210 in exponential form is:

26210 = 21 × 51 × 26211

Prime Factorization of 26229

Prime factors of 26229 are 3, 7, 1249. Prime factorization of 26229 in exponential form is:

26229 = 31 × 71 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 26210 and 26229.

LCM(26210,26229) = 21 × 51 × 26211 × 31 × 71 × 12491
LCM(26210,26229) = 687462090