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What is the Least Common Multiple of 55239 and 55252?

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 55239 and 55252 is 3052065228.

LCM(55239,55252) = 3052065228

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Least Common Multiple of 55239 and 55252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55239 and 55252, than apply into the LCM equation.

GCF(55239,55252) = 1
LCM(55239,55252) = ( 55239 × 55252) / 1
LCM(55239,55252) = 3052065228 / 1
LCM(55239,55252) = 3052065228

Least Common Multiple (LCM) of 55239 and 55252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55239 and 55252. First we will calculate the prime factors of 55239 and 55252.

Prime Factorization of 55239

Prime factors of 55239 are 3, 18413. Prime factorization of 55239 in exponential form is:

55239 = 31 × 184131

Prime Factorization of 55252

Prime factors of 55252 are 2, 19, 727. Prime factorization of 55252 in exponential form is:

55252 = 22 × 191 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 55239 and 55252.

LCM(55239,55252) = 31 × 184131 × 22 × 191 × 7271
LCM(55239,55252) = 3052065228