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What is the Least Common Multiple of 69148 and 69155?

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 69148 and 69155 is 4781929940.

LCM(69148,69155) = 4781929940

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Least Common Multiple of 69148 and 69155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69148 and 69155, than apply into the LCM equation.

GCF(69148,69155) = 1
LCM(69148,69155) = ( 69148 × 69155) / 1
LCM(69148,69155) = 4781929940 / 1
LCM(69148,69155) = 4781929940

Least Common Multiple (LCM) of 69148 and 69155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69148 and 69155. First we will calculate the prime factors of 69148 and 69155.

Prime Factorization of 69148

Prime factors of 69148 are 2, 59, 293. Prime factorization of 69148 in exponential form is:

69148 = 22 × 591 × 2931

Prime Factorization of 69155

Prime factors of 69155 are 5, 13831. Prime factorization of 69155 in exponential form is:

69155 = 51 × 138311

Now multiplying the highest exponent prime factors to calculate the LCM of 69148 and 69155.

LCM(69148,69155) = 22 × 591 × 2931 × 51 × 138311
LCM(69148,69155) = 4781929940