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What is the Least Common Multiple of 52141 and 52155?

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 52141 and 52155 is 2719413855.

LCM(52141,52155) = 2719413855

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Least Common Multiple of 52141 and 52155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52141 and 52155, than apply into the LCM equation.

GCF(52141,52155) = 1
LCM(52141,52155) = ( 52141 × 52155) / 1
LCM(52141,52155) = 2719413855 / 1
LCM(52141,52155) = 2719413855

Least Common Multiple (LCM) of 52141 and 52155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52141 and 52155. First we will calculate the prime factors of 52141 and 52155.

Prime Factorization of 52141

Prime factors of 52141 are 23, 2267. Prime factorization of 52141 in exponential form is:

52141 = 231 × 22671

Prime Factorization of 52155

Prime factors of 52155 are 3, 5, 19, 61. Prime factorization of 52155 in exponential form is:

52155 = 32 × 51 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 52141 and 52155.

LCM(52141,52155) = 231 × 22671 × 32 × 51 × 191 × 611
LCM(52141,52155) = 2719413855