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What is the Least Common Multiple of 68585 and 68598?

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 68585 and 68598 is 4704793830.

LCM(68585,68598) = 4704793830

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Least Common Multiple of 68585 and 68598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68585 and 68598, than apply into the LCM equation.

GCF(68585,68598) = 1
LCM(68585,68598) = ( 68585 × 68598) / 1
LCM(68585,68598) = 4704793830 / 1
LCM(68585,68598) = 4704793830

Least Common Multiple (LCM) of 68585 and 68598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68585 and 68598. First we will calculate the prime factors of 68585 and 68598.

Prime Factorization of 68585

Prime factors of 68585 are 5, 11, 29, 43. Prime factorization of 68585 in exponential form is:

68585 = 51 × 111 × 291 × 431

Prime Factorization of 68598

Prime factors of 68598 are 2, 3, 37, 103. Prime factorization of 68598 in exponential form is:

68598 = 21 × 32 × 371 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 68585 and 68598.

LCM(68585,68598) = 51 × 111 × 291 × 431 × 21 × 32 × 371 × 1031
LCM(68585,68598) = 4704793830