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What is the Least Common Multiple of 26188 and 26203?

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 26188 and 26203 is 686204164.

LCM(26188,26203) = 686204164

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Least Common Multiple of 26188 and 26203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26188 and 26203, than apply into the LCM equation.

GCF(26188,26203) = 1
LCM(26188,26203) = ( 26188 × 26203) / 1
LCM(26188,26203) = 686204164 / 1
LCM(26188,26203) = 686204164

Least Common Multiple (LCM) of 26188 and 26203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26188 and 26203. First we will calculate the prime factors of 26188 and 26203.

Prime Factorization of 26188

Prime factors of 26188 are 2, 6547. Prime factorization of 26188 in exponential form is:

26188 = 22 × 65471

Prime Factorization of 26203

Prime factors of 26203 are 26203. Prime factorization of 26203 in exponential form is:

26203 = 262031

Now multiplying the highest exponent prime factors to calculate the LCM of 26188 and 26203.

LCM(26188,26203) = 22 × 65471 × 262031
LCM(26188,26203) = 686204164