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What is the Least Common Multiple of 68056 and 68061?

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 68061 is 4631959416.

LCM(68056,68061) = 4631959416

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Least Common Multiple of 68056 and 68061 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 68061, than apply into the LCM equation.

GCF(68056,68061) = 1
LCM(68056,68061) = ( 68056 × 68061) / 1
LCM(68056,68061) = 4631959416 / 1
LCM(68056,68061) = 4631959416

Least Common Multiple (LCM) of 68056 and 68061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68056 and 68061. First we will calculate the prime factors of 68056 and 68061.

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 68061

Prime factors of 68061 are 3, 7, 463. Prime factorization of 68061 in exponential form is:

68061 = 31 × 72 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 68056 and 68061.

LCM(68056,68061) = 23 × 471 × 1811 × 31 × 72 × 4631
LCM(68056,68061) = 4631959416