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What is the Least Common Multiple of 68025 and 68039?

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 68025 and 68039 is 4628352975.

LCM(68025,68039) = 4628352975

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Least Common Multiple of 68025 and 68039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68025 and 68039, than apply into the LCM equation.

GCF(68025,68039) = 1
LCM(68025,68039) = ( 68025 × 68039) / 1
LCM(68025,68039) = 4628352975 / 1
LCM(68025,68039) = 4628352975

Least Common Multiple (LCM) of 68025 and 68039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68025 and 68039. First we will calculate the prime factors of 68025 and 68039.

Prime Factorization of 68025

Prime factors of 68025 are 3, 5, 907. Prime factorization of 68025 in exponential form is:

68025 = 31 × 52 × 9071

Prime Factorization of 68039

Prime factors of 68039 are 19, 3581. Prime factorization of 68039 in exponential form is:

68039 = 191 × 35811

Now multiplying the highest exponent prime factors to calculate the LCM of 68025 and 68039.

LCM(68025,68039) = 31 × 52 × 9071 × 191 × 35811
LCM(68025,68039) = 4628352975