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What is the Least Common Multiple of 68056 and 68067?

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 68056 and 68067 is 4632367752.

LCM(68056,68067) = 4632367752

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Least Common Multiple of 68056 and 68067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68056 and 68067, than apply into the LCM equation.

GCF(68056,68067) = 1
LCM(68056,68067) = ( 68056 × 68067) / 1
LCM(68056,68067) = 4632367752 / 1
LCM(68056,68067) = 4632367752

Least Common Multiple (LCM) of 68056 and 68067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68056 and 68067. First we will calculate the prime factors of 68056 and 68067.

Prime Factorization of 68056

Prime factors of 68056 are 2, 47, 181. Prime factorization of 68056 in exponential form is:

68056 = 23 × 471 × 1811

Prime Factorization of 68067

Prime factors of 68067 are 3, 2521. Prime factorization of 68067 in exponential form is:

68067 = 33 × 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 68056 and 68067.

LCM(68056,68067) = 23 × 471 × 1811 × 33 × 25211
LCM(68056,68067) = 4632367752