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What is the Least Common Multiple of 69089 and 69103?

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 69089 and 69103 is 4774257167.

LCM(69089,69103) = 4774257167

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Least Common Multiple of 69089 and 69103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69089 and 69103, than apply into the LCM equation.

GCF(69089,69103) = 1
LCM(69089,69103) = ( 69089 × 69103) / 1
LCM(69089,69103) = 4774257167 / 1
LCM(69089,69103) = 4774257167

Least Common Multiple (LCM) of 69089 and 69103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69089 and 69103. First we will calculate the prime factors of 69089 and 69103.

Prime Factorization of 69089

Prime factors of 69089 are 59, 1171. Prime factorization of 69089 in exponential form is:

69089 = 591 × 11711

Prime Factorization of 69103

Prime factors of 69103 are 19, 3637. Prime factorization of 69103 in exponential form is:

69103 = 191 × 36371

Now multiplying the highest exponent prime factors to calculate the LCM of 69089 and 69103.

LCM(69089,69103) = 591 × 11711 × 191 × 36371
LCM(69089,69103) = 4774257167