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What is the Least Common Multiple of 68268 and 68279?

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 68268 and 68279 is 4661270772.

LCM(68268,68279) = 4661270772

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Least Common Multiple of 68268 and 68279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68268 and 68279, than apply into the LCM equation.

GCF(68268,68279) = 1
LCM(68268,68279) = ( 68268 × 68279) / 1
LCM(68268,68279) = 4661270772 / 1
LCM(68268,68279) = 4661270772

Least Common Multiple (LCM) of 68268 and 68279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68268 and 68279. First we will calculate the prime factors of 68268 and 68279.

Prime Factorization of 68268

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

68268 = 22 × 31 × 56891

Prime Factorization of 68279

Prime factors of 68279 are 68279. Prime factorization of 68279 in exponential form is:

68279 = 682791

Now multiplying the highest exponent prime factors to calculate the LCM of 68268 and 68279.

LCM(68268,68279) = 22 × 31 × 56891 × 682791
LCM(68268,68279) = 4661270772