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What is the Least Common Multiple of 68052 and 68056?

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 68052 and 68056 is 1157836728.

LCM(68052,68056) = 1157836728

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Least Common Multiple of 68052 and 68056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68052 and 68056, than apply into the LCM equation.

GCF(68052,68056) = 4
LCM(68052,68056) = ( 68052 × 68056) / 4
LCM(68052,68056) = 4631346912 / 4
LCM(68052,68056) = 1157836728

Least Common Multiple (LCM) of 68052 and 68056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68052 and 68056. First we will calculate the prime factors of 68052 and 68056.

Prime Factorization of 68052

Prime factors of 68052 are 2, 3, 53, 107. Prime factorization of 68052 in exponential form is:

68052 = 22 × 31 × 531 × 1071

Prime Factorization of 68056

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

68056 = 23 × 471 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 68052 and 68056.

LCM(68052,68056) = 23 × 31 × 531 × 1071 × 471 × 1811
LCM(68052,68056) = 1157836728