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What is the Least Common Multiple of 68790 and 68799?

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 68790 and 68799 is 1577561070.

LCM(68790,68799) = 1577561070

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Least Common Multiple of 68790 and 68799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68790 and 68799, than apply into the LCM equation.

GCF(68790,68799) = 3
LCM(68790,68799) = ( 68790 × 68799) / 3
LCM(68790,68799) = 4732683210 / 3
LCM(68790,68799) = 1577561070

Least Common Multiple (LCM) of 68790 and 68799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68790 and 68799. First we will calculate the prime factors of 68790 and 68799.

Prime Factorization of 68790

Prime factors of 68790 are 2, 3, 5, 2293. Prime factorization of 68790 in exponential form is:

68790 = 21 × 31 × 51 × 22931

Prime Factorization of 68799

Prime factors of 68799 are 3, 17, 19, 71. Prime factorization of 68799 in exponential form is:

68799 = 31 × 171 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 68790 and 68799.

LCM(68790,68799) = 21 × 31 × 51 × 22931 × 171 × 191 × 711
LCM(68790,68799) = 1577561070