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What is the Least Common Multiple of 55235 and 55243?

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 55235 and 55243 is 3051347105.

LCM(55235,55243) = 3051347105

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Least Common Multiple of 55235 and 55243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55235 and 55243, than apply into the LCM equation.

GCF(55235,55243) = 1
LCM(55235,55243) = ( 55235 × 55243) / 1
LCM(55235,55243) = 3051347105 / 1
LCM(55235,55243) = 3051347105

Least Common Multiple (LCM) of 55235 and 55243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55235 and 55243. First we will calculate the prime factors of 55235 and 55243.

Prime Factorization of 55235

Prime factors of 55235 are 5, 11047. Prime factorization of 55235 in exponential form is:

55235 = 51 × 110471

Prime Factorization of 55243

Prime factors of 55243 are 55243. Prime factorization of 55243 in exponential form is:

55243 = 552431

Now multiplying the highest exponent prime factors to calculate the LCM of 55235 and 55243.

LCM(55235,55243) = 51 × 110471 × 552431
LCM(55235,55243) = 3051347105