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What is the Least Common Multiple of 27669 and 27684?

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 27669 and 27684 is 255329532.

LCM(27669,27684) = 255329532

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Least Common Multiple of 27669 and 27684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27669 and 27684, than apply into the LCM equation.

GCF(27669,27684) = 3
LCM(27669,27684) = ( 27669 × 27684) / 3
LCM(27669,27684) = 765988596 / 3
LCM(27669,27684) = 255329532

Least Common Multiple (LCM) of 27669 and 27684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27669 and 27684. First we will calculate the prime factors of 27669 and 27684.

Prime Factorization of 27669

Prime factors of 27669 are 3, 23, 401. Prime factorization of 27669 in exponential form is:

27669 = 31 × 231 × 4011

Prime Factorization of 27684

Prime factors of 27684 are 2, 3, 769. Prime factorization of 27684 in exponential form is:

27684 = 22 × 32 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 27669 and 27684.

LCM(27669,27684) = 32 × 231 × 4011 × 22 × 7691
LCM(27669,27684) = 255329532