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What is the Least Common Multiple of 68791 and 68802?

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 68791 and 68802 is 4732958382.

LCM(68791,68802) = 4732958382

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Least Common Multiple of 68791 and 68802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68791 and 68802, than apply into the LCM equation.

GCF(68791,68802) = 1
LCM(68791,68802) = ( 68791 × 68802) / 1
LCM(68791,68802) = 4732958382 / 1
LCM(68791,68802) = 4732958382

Least Common Multiple (LCM) of 68791 and 68802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68791 and 68802. First we will calculate the prime factors of 68791 and 68802.

Prime Factorization of 68791

Prime factors of 68791 are 68791. Prime factorization of 68791 in exponential form is:

68791 = 687911

Prime Factorization of 68802

Prime factors of 68802 are 2, 3, 11467. Prime factorization of 68802 in exponential form is:

68802 = 21 × 31 × 114671

Now multiplying the highest exponent prime factors to calculate the LCM of 68791 and 68802.

LCM(68791,68802) = 687911 × 21 × 31 × 114671
LCM(68791,68802) = 4732958382