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What is the Least Common Multiple of 68775 and 68783?

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 68775 and 68783 is 4730550825.

LCM(68775,68783) = 4730550825

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Least Common Multiple of 68775 and 68783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68775 and 68783, than apply into the LCM equation.

GCF(68775,68783) = 1
LCM(68775,68783) = ( 68775 × 68783) / 1
LCM(68775,68783) = 4730550825 / 1
LCM(68775,68783) = 4730550825

Least Common Multiple (LCM) of 68775 and 68783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68775 and 68783. First we will calculate the prime factors of 68775 and 68783.

Prime Factorization of 68775

Prime factors of 68775 are 3, 5, 7, 131. Prime factorization of 68775 in exponential form is:

68775 = 31 × 52 × 71 × 1311

Prime Factorization of 68783

Prime factors of 68783 are 11, 13, 37. Prime factorization of 68783 in exponential form is:

68783 = 111 × 132 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68775 and 68783.

LCM(68775,68783) = 31 × 52 × 71 × 1311 × 111 × 132 × 371
LCM(68775,68783) = 4730550825