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What is the Least Common Multiple of 68235 and 68255?

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 68235 and 68255 is 931475985.

LCM(68235,68255) = 931475985

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Least Common Multiple of 68235 and 68255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68235 and 68255, than apply into the LCM equation.

GCF(68235,68255) = 5
LCM(68235,68255) = ( 68235 × 68255) / 5
LCM(68235,68255) = 4657379925 / 5
LCM(68235,68255) = 931475985

Least Common Multiple (LCM) of 68235 and 68255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68235 and 68255. First we will calculate the prime factors of 68235 and 68255.

Prime Factorization of 68235

Prime factors of 68235 are 3, 5, 4549. Prime factorization of 68235 in exponential form is:

68235 = 31 × 51 × 45491

Prime Factorization of 68255

Prime factors of 68255 are 5, 11, 17, 73. Prime factorization of 68255 in exponential form is:

68255 = 51 × 111 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68235 and 68255.

LCM(68235,68255) = 31 × 51 × 45491 × 111 × 171 × 731
LCM(68235,68255) = 931475985