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What is the Least Common Multiple of 27216 and 27236?

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 27216 and 27236 is 185313744.

LCM(27216,27236) = 185313744

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Least Common Multiple of 27216 and 27236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27216 and 27236, than apply into the LCM equation.

GCF(27216,27236) = 4
LCM(27216,27236) = ( 27216 × 27236) / 4
LCM(27216,27236) = 741254976 / 4
LCM(27216,27236) = 185313744

Least Common Multiple (LCM) of 27216 and 27236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27216 and 27236. First we will calculate the prime factors of 27216 and 27236.

Prime Factorization of 27216

Prime factors of 27216 are 2, 3, 7. Prime factorization of 27216 in exponential form is:

27216 = 24 × 35 × 71

Prime Factorization of 27236

Prime factors of 27236 are 2, 11, 619. Prime factorization of 27236 in exponential form is:

27236 = 22 × 111 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 27216 and 27236.

LCM(27216,27236) = 24 × 35 × 71 × 111 × 6191
LCM(27216,27236) = 185313744