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What is the Least Common Multiple of 68657 and 68672?

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 68657 and 68672 is 4714813504.

LCM(68657,68672) = 4714813504

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Least Common Multiple of 68657 and 68672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68657 and 68672, than apply into the LCM equation.

GCF(68657,68672) = 1
LCM(68657,68672) = ( 68657 × 68672) / 1
LCM(68657,68672) = 4714813504 / 1
LCM(68657,68672) = 4714813504

Least Common Multiple (LCM) of 68657 and 68672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68657 and 68672. First we will calculate the prime factors of 68657 and 68672.

Prime Factorization of 68657

Prime factors of 68657 are 71, 967. Prime factorization of 68657 in exponential form is:

68657 = 711 × 9671

Prime Factorization of 68672

Prime factors of 68672 are 2, 29, 37. Prime factorization of 68672 in exponential form is:

68672 = 26 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68657 and 68672.

LCM(68657,68672) = 711 × 9671 × 26 × 291 × 371
LCM(68657,68672) = 4714813504