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What is the Least Common Multiple of 26038 and 26050?

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 26038 and 26050 is 339144950.

LCM(26038,26050) = 339144950

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Least Common Multiple of 26038 and 26050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26038 and 26050, than apply into the LCM equation.

GCF(26038,26050) = 2
LCM(26038,26050) = ( 26038 × 26050) / 2
LCM(26038,26050) = 678289900 / 2
LCM(26038,26050) = 339144950

Least Common Multiple (LCM) of 26038 and 26050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26038 and 26050. First we will calculate the prime factors of 26038 and 26050.

Prime Factorization of 26038

Prime factors of 26038 are 2, 47, 277. Prime factorization of 26038 in exponential form is:

26038 = 21 × 471 × 2771

Prime Factorization of 26050

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

26050 = 21 × 52 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 26038 and 26050.

LCM(26038,26050) = 21 × 471 × 2771 × 52 × 5211
LCM(26038,26050) = 339144950