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What is the Least Common Multiple of 55249 and 55262?

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 55262 is 3053170238.

LCM(55249,55262) = 3053170238

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Least Common Multiple of 55249 and 55262 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 55262, than apply into the LCM equation.

GCF(55249,55262) = 1
LCM(55249,55262) = ( 55249 × 55262) / 1
LCM(55249,55262) = 3053170238 / 1
LCM(55249,55262) = 3053170238

Least Common Multiple (LCM) of 55249 and 55262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55249 and 55262. First we will calculate the prime factors of 55249 and 55262.

Prime Factorization of 55249

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

55249 = 552491

Prime Factorization of 55262

Prime factors of 55262 are 2, 27631. Prime factorization of 55262 in exponential form is:

55262 = 21 × 276311

Now multiplying the highest exponent prime factors to calculate the LCM of 55249 and 55262.

LCM(55249,55262) = 552491 × 21 × 276311
LCM(55249,55262) = 3053170238