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What is the Least Common Multiple of 55326 and 55337?

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 55326 and 55337 is 3061574862.

LCM(55326,55337) = 3061574862

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Least Common Multiple of 55326 and 55337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55326 and 55337, than apply into the LCM equation.

GCF(55326,55337) = 1
LCM(55326,55337) = ( 55326 × 55337) / 1
LCM(55326,55337) = 3061574862 / 1
LCM(55326,55337) = 3061574862

Least Common Multiple (LCM) of 55326 and 55337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55326 and 55337. First we will calculate the prime factors of 55326 and 55337.

Prime Factorization of 55326

Prime factors of 55326 are 2, 3, 9221. Prime factorization of 55326 in exponential form is:

55326 = 21 × 31 × 92211

Prime Factorization of 55337

Prime factors of 55337 are 55337. Prime factorization of 55337 in exponential form is:

55337 = 553371

Now multiplying the highest exponent prime factors to calculate the LCM of 55326 and 55337.

LCM(55326,55337) = 21 × 31 × 92211 × 553371
LCM(55326,55337) = 3061574862