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What is the Least Common Multiple of 69551 and 69559?

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 69551 and 69559 is 4837898009.

LCM(69551,69559) = 4837898009

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Least Common Multiple of 69551 and 69559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69551 and 69559, than apply into the LCM equation.

GCF(69551,69559) = 1
LCM(69551,69559) = ( 69551 × 69559) / 1
LCM(69551,69559) = 4837898009 / 1
LCM(69551,69559) = 4837898009

Least Common Multiple (LCM) of 69551 and 69559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69551 and 69559. First we will calculate the prime factors of 69551 and 69559.

Prime Factorization of 69551

Prime factors of 69551 are 157, 443. Prime factorization of 69551 in exponential form is:

69551 = 1571 × 4431

Prime Factorization of 69559

Prime factors of 69559 are 7, 19, 523. Prime factorization of 69559 in exponential form is:

69559 = 71 × 191 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 69551 and 69559.

LCM(69551,69559) = 1571 × 4431 × 71 × 191 × 5231
LCM(69551,69559) = 4837898009