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What is the Least Common Multiple of 26049 and 26069?

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 26049 and 26069 is 679071381.

LCM(26049,26069) = 679071381

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Least Common Multiple of 26049 and 26069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26049 and 26069, than apply into the LCM equation.

GCF(26049,26069) = 1
LCM(26049,26069) = ( 26049 × 26069) / 1
LCM(26049,26069) = 679071381 / 1
LCM(26049,26069) = 679071381

Least Common Multiple (LCM) of 26049 and 26069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26049 and 26069. First we will calculate the prime factors of 26049 and 26069.

Prime Factorization of 26049

Prime factors of 26049 are 3, 19, 457. Prime factorization of 26049 in exponential form is:

26049 = 31 × 191 × 4571

Prime Factorization of 26069

Prime factors of 26069 are 131, 199. Prime factorization of 26069 in exponential form is:

26069 = 1311 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 26049 and 26069.

LCM(26049,26069) = 31 × 191 × 4571 × 1311 × 1991
LCM(26049,26069) = 679071381