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What is the Least Common Multiple of 55361 and 55369?

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 55361 and 55369 is 3065283209.

LCM(55361,55369) = 3065283209

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Least Common Multiple of 55361 and 55369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55361 and 55369, than apply into the LCM equation.

GCF(55361,55369) = 1
LCM(55361,55369) = ( 55361 × 55369) / 1
LCM(55361,55369) = 3065283209 / 1
LCM(55361,55369) = 3065283209

Least Common Multiple (LCM) of 55361 and 55369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55361 and 55369. First we will calculate the prime factors of 55361 and 55369.

Prime Factorization of 55361

Prime factors of 55361 are 23, 29, 83. Prime factorization of 55361 in exponential form is:

55361 = 231 × 291 × 831

Prime Factorization of 55369

Prime factors of 55369 are 17, 3257. Prime factorization of 55369 in exponential form is:

55369 = 171 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 55361 and 55369.

LCM(55361,55369) = 231 × 291 × 831 × 171 × 32571
LCM(55361,55369) = 3065283209