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What is the Least Common Multiple of 27412 and 27423?

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 27412 and 27423 is 68338116.

LCM(27412,27423) = 68338116

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Least Common Multiple of 27412 and 27423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27412 and 27423, than apply into the LCM equation.

GCF(27412,27423) = 11
LCM(27412,27423) = ( 27412 × 27423) / 11
LCM(27412,27423) = 751719276 / 11
LCM(27412,27423) = 68338116

Least Common Multiple (LCM) of 27412 and 27423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27412 and 27423. First we will calculate the prime factors of 27412 and 27423.

Prime Factorization of 27412

Prime factors of 27412 are 2, 7, 11, 89. Prime factorization of 27412 in exponential form is:

27412 = 22 × 71 × 111 × 891

Prime Factorization of 27423

Prime factors of 27423 are 3, 11, 277. Prime factorization of 27423 in exponential form is:

27423 = 32 × 111 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 27412 and 27423.

LCM(27412,27423) = 22 × 71 × 111 × 891 × 32 × 2771
LCM(27412,27423) = 68338116