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What is the Least Common Multiple of 69238 and 69250?

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 69238 and 69250 is 2397365750.

LCM(69238,69250) = 2397365750

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Least Common Multiple of 69238 and 69250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69238 and 69250, than apply into the LCM equation.

GCF(69238,69250) = 2
LCM(69238,69250) = ( 69238 × 69250) / 2
LCM(69238,69250) = 4794731500 / 2
LCM(69238,69250) = 2397365750

Least Common Multiple (LCM) of 69238 and 69250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69238 and 69250. First we will calculate the prime factors of 69238 and 69250.

Prime Factorization of 69238

Prime factors of 69238 are 2, 13, 2663. Prime factorization of 69238 in exponential form is:

69238 = 21 × 131 × 26631

Prime Factorization of 69250

Prime factors of 69250 are 2, 5, 277. Prime factorization of 69250 in exponential form is:

69250 = 21 × 53 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 69238 and 69250.

LCM(69238,69250) = 21 × 131 × 26631 × 53 × 2771
LCM(69238,69250) = 2397365750