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What is the Least Common Multiple of 55341 and 55352?

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 55341 and 55352 is 278475912.

LCM(55341,55352) = 278475912

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Least Common Multiple of 55341 and 55352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55341 and 55352, than apply into the LCM equation.

GCF(55341,55352) = 11
LCM(55341,55352) = ( 55341 × 55352) / 11
LCM(55341,55352) = 3063235032 / 11
LCM(55341,55352) = 278475912

Least Common Multiple (LCM) of 55341 and 55352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55341 and 55352. First we will calculate the prime factors of 55341 and 55352.

Prime Factorization of 55341

Prime factors of 55341 are 3, 11, 13, 43. Prime factorization of 55341 in exponential form is:

55341 = 32 × 111 × 131 × 431

Prime Factorization of 55352

Prime factors of 55352 are 2, 11, 17, 37. Prime factorization of 55352 in exponential form is:

55352 = 23 × 111 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 55341 and 55352.

LCM(55341,55352) = 32 × 111 × 131 × 431 × 23 × 171 × 371
LCM(55341,55352) = 278475912