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What is the Least Common Multiple of 67782 and 67802?

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 67782 and 67802 is 2297877582.

LCM(67782,67802) = 2297877582

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Least Common Multiple of 67782 and 67802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67782 and 67802, than apply into the LCM equation.

GCF(67782,67802) = 2
LCM(67782,67802) = ( 67782 × 67802) / 2
LCM(67782,67802) = 4595755164 / 2
LCM(67782,67802) = 2297877582

Least Common Multiple (LCM) of 67782 and 67802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67782 and 67802. First we will calculate the prime factors of 67782 and 67802.

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

Prime Factorization of 67802

Prime factors of 67802 are 2, 7, 29, 167. Prime factorization of 67802 in exponential form is:

67802 = 21 × 71 × 291 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 67782 and 67802.

LCM(67782,67802) = 21 × 31 × 111 × 131 × 791 × 71 × 291 × 1671
LCM(67782,67802) = 2297877582