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What is the Least Common Multiple of 69243 and 69254?

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 69243 and 69254 is 4795354722.

LCM(69243,69254) = 4795354722

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Least Common Multiple of 69243 and 69254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69243 and 69254, than apply into the LCM equation.

GCF(69243,69254) = 1
LCM(69243,69254) = ( 69243 × 69254) / 1
LCM(69243,69254) = 4795354722 / 1
LCM(69243,69254) = 4795354722

Least Common Multiple (LCM) of 69243 and 69254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69243 and 69254. First we will calculate the prime factors of 69243 and 69254.

Prime Factorization of 69243

Prime factors of 69243 are 3, 23081. Prime factorization of 69243 in exponential form is:

69243 = 31 × 230811

Prime Factorization of 69254

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

69254 = 21 × 311 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 69243 and 69254.

LCM(69243,69254) = 31 × 230811 × 21 × 311 × 11171
LCM(69243,69254) = 4795354722