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What is the Least Common Multiple of 68235 and 68248?

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 68248 is 4656902280.

LCM(68235,68248) = 4656902280

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Least Common Multiple of 68235 and 68248 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 68248, than apply into the LCM equation.

GCF(68235,68248) = 1
LCM(68235,68248) = ( 68235 × 68248) / 1
LCM(68235,68248) = 4656902280 / 1
LCM(68235,68248) = 4656902280

Least Common Multiple (LCM) of 68235 and 68248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68235 and 68248. First we will calculate the prime factors of 68235 and 68248.

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 68248

Prime factors of 68248 are 2, 19, 449. Prime factorization of 68248 in exponential form is:

68248 = 23 × 191 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 68235 and 68248.

LCM(68235,68248) = 31 × 51 × 45491 × 23 × 191 × 4491
LCM(68235,68248) = 4656902280