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What is the Least Common Multiple of 27816 and 27822?

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 27816 and 27822 is 128982792.

LCM(27816,27822) = 128982792

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Least Common Multiple of 27816 and 27822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27816 and 27822, than apply into the LCM equation.

GCF(27816,27822) = 6
LCM(27816,27822) = ( 27816 × 27822) / 6
LCM(27816,27822) = 773896752 / 6
LCM(27816,27822) = 128982792

Least Common Multiple (LCM) of 27816 and 27822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27816 and 27822. First we will calculate the prime factors of 27816 and 27822.

Prime Factorization of 27816

Prime factors of 27816 are 2, 3, 19, 61. Prime factorization of 27816 in exponential form is:

27816 = 23 × 31 × 191 × 611

Prime Factorization of 27822

Prime factors of 27822 are 2, 3, 4637. Prime factorization of 27822 in exponential form is:

27822 = 21 × 31 × 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 27816 and 27822.

LCM(27816,27822) = 23 × 31 × 191 × 611 × 46371
LCM(27816,27822) = 128982792