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What is the Least Common Multiple of 68260 and 68268?

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 68260 and 68268 is 1164993420.

LCM(68260,68268) = 1164993420

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Least Common Multiple of 68260 and 68268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68260 and 68268, than apply into the LCM equation.

GCF(68260,68268) = 4
LCM(68260,68268) = ( 68260 × 68268) / 4
LCM(68260,68268) = 4659973680 / 4
LCM(68260,68268) = 1164993420

Least Common Multiple (LCM) of 68260 and 68268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68260 and 68268. First we will calculate the prime factors of 68260 and 68268.

Prime Factorization of 68260

Prime factors of 68260 are 2, 5, 3413. Prime factorization of 68260 in exponential form is:

68260 = 22 × 51 × 34131

Prime Factorization of 68268

Prime factors of 68268 are 2, 3, 5689. Prime factorization of 68268 in exponential form is:

68268 = 22 × 31 × 56891

Now multiplying the highest exponent prime factors to calculate the LCM of 68260 and 68268.

LCM(68260,68268) = 22 × 51 × 34131 × 31 × 56891
LCM(68260,68268) = 1164993420