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What is the Least Common Multiple of 68235 and 68249?

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 68249 is 4656970515.

LCM(68235,68249) = 4656970515

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Least Common Multiple of 68235 and 68249 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 68249, than apply into the LCM equation.

GCF(68235,68249) = 1
LCM(68235,68249) = ( 68235 × 68249) / 1
LCM(68235,68249) = 4656970515 / 1
LCM(68235,68249) = 4656970515

Least Common Multiple (LCM) of 68235 and 68249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68235 and 68249. First we will calculate the prime factors of 68235 and 68249.

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 68249

Prime factors of 68249 are 139, 491. Prime factorization of 68249 in exponential form is:

68249 = 1391 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 68235 and 68249.

LCM(68235,68249) = 31 × 51 × 45491 × 1391 × 4911
LCM(68235,68249) = 4656970515