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What is the Least Common Multiple of 22764 and 22782?

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 22764 and 22782 is 86434908.

LCM(22764,22782) = 86434908

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Least Common Multiple of 22764 and 22782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22764 and 22782, than apply into the LCM equation.

GCF(22764,22782) = 6
LCM(22764,22782) = ( 22764 × 22782) / 6
LCM(22764,22782) = 518609448 / 6
LCM(22764,22782) = 86434908

Least Common Multiple (LCM) of 22764 and 22782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22764 and 22782. First we will calculate the prime factors of 22764 and 22782.

Prime Factorization of 22764

Prime factors of 22764 are 2, 3, 7, 271. Prime factorization of 22764 in exponential form is:

22764 = 22 × 31 × 71 × 2711

Prime Factorization of 22782

Prime factors of 22782 are 2, 3, 3797. Prime factorization of 22782 in exponential form is:

22782 = 21 × 31 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 22764 and 22782.

LCM(22764,22782) = 22 × 31 × 71 × 2711 × 37971
LCM(22764,22782) = 86434908