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What is the Least Common Multiple of 67773 and 67782?

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 67773 and 67782 is 1531263162.

LCM(67773,67782) = 1531263162

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Least Common Multiple of 67773 and 67782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67773 and 67782, than apply into the LCM equation.

GCF(67773,67782) = 3
LCM(67773,67782) = ( 67773 × 67782) / 3
LCM(67773,67782) = 4593789486 / 3
LCM(67773,67782) = 1531263162

Least Common Multiple (LCM) of 67773 and 67782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67773 and 67782. First we will calculate the prime factors of 67773 and 67782.

Prime Factorization of 67773

Prime factors of 67773 are 3, 19, 29, 41. Prime factorization of 67773 in exponential form is:

67773 = 31 × 191 × 291 × 411

Prime Factorization of 67782

Prime factors of 67782 are 2, 3, 11, 13, 79. Prime factorization of 67782 in exponential form is:

67782 = 21 × 31 × 111 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 67773 and 67782.

LCM(67773,67782) = 31 × 191 × 291 × 411 × 21 × 111 × 131 × 791
LCM(67773,67782) = 1531263162