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What is the Least Common Multiple of 27412 and 27416?

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 27416 is 187881848.

LCM(27412,27416) = 187881848

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Least Common Multiple of 27412 and 27416 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 27416, than apply into the LCM equation.

GCF(27412,27416) = 4
LCM(27412,27416) = ( 27412 × 27416) / 4
LCM(27412,27416) = 751527392 / 4
LCM(27412,27416) = 187881848

Least Common Multiple (LCM) of 27412 and 27416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27412 and 27416. First we will calculate the prime factors of 27412 and 27416.

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 27416

Prime factors of 27416 are 2, 23, 149. Prime factorization of 27416 in exponential form is:

27416 = 23 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 27412 and 27416.

LCM(27412,27416) = 23 × 71 × 111 × 891 × 231 × 1491
LCM(27412,27416) = 187881848