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What is the Least Common Multiple of 55249 and 55254?

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 55254 is 3052728246.

LCM(55249,55254) = 3052728246

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Least Common Multiple of 55249 and 55254 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 55254, than apply into the LCM equation.

GCF(55249,55254) = 1
LCM(55249,55254) = ( 55249 × 55254) / 1
LCM(55249,55254) = 3052728246 / 1
LCM(55249,55254) = 3052728246

Least Common Multiple (LCM) of 55249 and 55254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55249 and 55254. First we will calculate the prime factors of 55249 and 55254.

Prime Factorization of 55249

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

55249 = 552491

Prime Factorization of 55254

Prime factors of 55254 are 2, 3, 9209. Prime factorization of 55254 in exponential form is:

55254 = 21 × 31 × 92091

Now multiplying the highest exponent prime factors to calculate the LCM of 55249 and 55254.

LCM(55249,55254) = 552491 × 21 × 31 × 92091
LCM(55249,55254) = 3052728246