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What is the Least Common Multiple of 55249 and 55267?

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 55249 and 55267 is 3053446483.

LCM(55249,55267) = 3053446483

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Least Common Multiple of 55249 and 55267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55249 and 55267, than apply into the LCM equation.

GCF(55249,55267) = 1
LCM(55249,55267) = ( 55249 × 55267) / 1
LCM(55249,55267) = 3053446483 / 1
LCM(55249,55267) = 3053446483

Least Common Multiple (LCM) of 55249 and 55267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55249 and 55267. First we will calculate the prime factors of 55249 and 55267.

Prime Factorization of 55249

Prime factors of 55249 are 55249. Prime factorization of 55249 in exponential form is:

55249 = 552491

Prime Factorization of 55267

Prime factors of 55267 are 17, 3251. Prime factorization of 55267 in exponential form is:

55267 = 171 × 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 55249 and 55267.

LCM(55249,55267) = 552491 × 171 × 32511
LCM(55249,55267) = 3053446483