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What is the Least Common Multiple of 68772 and 68788?

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 68772 and 68788 is 1182672084.

LCM(68772,68788) = 1182672084

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Least Common Multiple of 68772 and 68788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68772 and 68788, than apply into the LCM equation.

GCF(68772,68788) = 4
LCM(68772,68788) = ( 68772 × 68788) / 4
LCM(68772,68788) = 4730688336 / 4
LCM(68772,68788) = 1182672084

Least Common Multiple (LCM) of 68772 and 68788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68772 and 68788. First we will calculate the prime factors of 68772 and 68788.

Prime Factorization of 68772

Prime factors of 68772 are 2, 3, 11, 521. Prime factorization of 68772 in exponential form is:

68772 = 22 × 31 × 111 × 5211

Prime Factorization of 68788

Prime factors of 68788 are 2, 29, 593. Prime factorization of 68788 in exponential form is:

68788 = 22 × 291 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 68772 and 68788.

LCM(68772,68788) = 22 × 31 × 111 × 5211 × 291 × 5931
LCM(68772,68788) = 1182672084