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What is the Least Common Multiple of 27048 and 27067?

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 27048 and 27067 is 732108216.

LCM(27048,27067) = 732108216

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Least Common Multiple of 27048 and 27067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27048 and 27067, than apply into the LCM equation.

GCF(27048,27067) = 1
LCM(27048,27067) = ( 27048 × 27067) / 1
LCM(27048,27067) = 732108216 / 1
LCM(27048,27067) = 732108216

Least Common Multiple (LCM) of 27048 and 27067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27048 and 27067. First we will calculate the prime factors of 27048 and 27067.

Prime Factorization of 27048

Prime factors of 27048 are 2, 3, 7, 23. Prime factorization of 27048 in exponential form is:

27048 = 23 × 31 × 72 × 231

Prime Factorization of 27067

Prime factors of 27067 are 27067. Prime factorization of 27067 in exponential form is:

27067 = 270671

Now multiplying the highest exponent prime factors to calculate the LCM of 27048 and 27067.

LCM(27048,27067) = 23 × 31 × 72 × 231 × 270671
LCM(27048,27067) = 732108216