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What is the Least Common Multiple of 69038 and 69045?

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 69038 and 69045 is 4766728710.

LCM(69038,69045) = 4766728710

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Least Common Multiple of 69038 and 69045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69038 and 69045, than apply into the LCM equation.

GCF(69038,69045) = 1
LCM(69038,69045) = ( 69038 × 69045) / 1
LCM(69038,69045) = 4766728710 / 1
LCM(69038,69045) = 4766728710

Least Common Multiple (LCM) of 69038 and 69045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69038 and 69045. First we will calculate the prime factors of 69038 and 69045.

Prime Factorization of 69038

Prime factors of 69038 are 2, 34519. Prime factorization of 69038 in exponential form is:

69038 = 21 × 345191

Prime Factorization of 69045

Prime factors of 69045 are 3, 5, 4603. Prime factorization of 69045 in exponential form is:

69045 = 31 × 51 × 46031

Now multiplying the highest exponent prime factors to calculate the LCM of 69038 and 69045.

LCM(69038,69045) = 21 × 345191 × 31 × 51 × 46031
LCM(69038,69045) = 4766728710