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What is the Least Common Multiple of 27211 and 27216?

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 27211 and 27216 is 740574576.

LCM(27211,27216) = 740574576

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Least Common Multiple of 27211 and 27216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27211 and 27216, than apply into the LCM equation.

GCF(27211,27216) = 1
LCM(27211,27216) = ( 27211 × 27216) / 1
LCM(27211,27216) = 740574576 / 1
LCM(27211,27216) = 740574576

Least Common Multiple (LCM) of 27211 and 27216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27211 and 27216. First we will calculate the prime factors of 27211 and 27216.

Prime Factorization of 27211

Prime factors of 27211 are 27211. Prime factorization of 27211 in exponential form is:

27211 = 272111

Prime Factorization of 27216

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

27216 = 24 × 35 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 27211 and 27216.

LCM(27211,27216) = 272111 × 24 × 35 × 71
LCM(27211,27216) = 740574576