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What is the Least Common Multiple of 26050 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 26050 and 26069 is 679097450.

LCM(26050,26069) = 679097450

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Least Common Multiple of 26050 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 26050 and 26069, than apply into the LCM equation.

GCF(26050,26069) = 1
LCM(26050,26069) = ( 26050 × 26069) / 1
LCM(26050,26069) = 679097450 / 1
LCM(26050,26069) = 679097450

Least Common Multiple (LCM) of 26050 and 26069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26050 and 26069. First we will calculate the prime factors of 26050 and 26069.

Prime Factorization of 26050

Prime factors of 26050 are 2, 5, 521. Prime factorization of 26050 in exponential form is:

26050 = 21 × 52 × 5211

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 26050 and 26069.

LCM(26050,26069) = 21 × 52 × 5211 × 1311 × 1991
LCM(26050,26069) = 679097450