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What is the Least Common Multiple of 69254 and 69266?

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 69254 and 69266 is 2398473782.

LCM(69254,69266) = 2398473782

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Least Common Multiple of 69254 and 69266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69254 and 69266, than apply into the LCM equation.

GCF(69254,69266) = 2
LCM(69254,69266) = ( 69254 × 69266) / 2
LCM(69254,69266) = 4796947564 / 2
LCM(69254,69266) = 2398473782

Least Common Multiple (LCM) of 69254 and 69266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69254 and 69266. First we will calculate the prime factors of 69254 and 69266.

Prime Factorization of 69254

Prime factors of 69254 are 2, 31, 1117. Prime factorization of 69254 in exponential form is:

69254 = 21 × 311 × 11171

Prime Factorization of 69266

Prime factors of 69266 are 2, 59, 587. Prime factorization of 69266 in exponential form is:

69266 = 21 × 591 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 69254 and 69266.

LCM(69254,69266) = 21 × 311 × 11171 × 591 × 5871
LCM(69254,69266) = 2398473782