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What is the Least Common Multiple of 26090 and 26102?

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 26090 and 26102 is 340500590.

LCM(26090,26102) = 340500590

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Least Common Multiple of 26090 and 26102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26090 and 26102, than apply into the LCM equation.

GCF(26090,26102) = 2
LCM(26090,26102) = ( 26090 × 26102) / 2
LCM(26090,26102) = 681001180 / 2
LCM(26090,26102) = 340500590

Least Common Multiple (LCM) of 26090 and 26102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26090 and 26102. First we will calculate the prime factors of 26090 and 26102.

Prime Factorization of 26090

Prime factors of 26090 are 2, 5, 2609. Prime factorization of 26090 in exponential form is:

26090 = 21 × 51 × 26091

Prime Factorization of 26102

Prime factors of 26102 are 2, 31, 421. Prime factorization of 26102 in exponential form is:

26102 = 21 × 311 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 26090 and 26102.

LCM(26090,26102) = 21 × 51 × 26091 × 311 × 4211
LCM(26090,26102) = 340500590