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What is the Least Common Multiple of 10269 and 10278?

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 10269 and 10278 is 11727198.

LCM(10269,10278) = 11727198

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Least Common Multiple of 10269 and 10278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10269 and 10278, than apply into the LCM equation.

GCF(10269,10278) = 9
LCM(10269,10278) = ( 10269 × 10278) / 9
LCM(10269,10278) = 105544782 / 9
LCM(10269,10278) = 11727198

Least Common Multiple (LCM) of 10269 and 10278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10269 and 10278. First we will calculate the prime factors of 10269 and 10278.

Prime Factorization of 10269

Prime factors of 10269 are 3, 7, 163. Prime factorization of 10269 in exponential form is:

10269 = 32 × 71 × 1631

Prime Factorization of 10278

Prime factors of 10278 are 2, 3, 571. Prime factorization of 10278 in exponential form is:

10278 = 21 × 32 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 10269 and 10278.

LCM(10269,10278) = 32 × 71 × 1631 × 21 × 5711
LCM(10269,10278) = 11727198