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What is the Least Common Multiple of 52130 and 52141?

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 52130 and 52141 is 2718110330.

LCM(52130,52141) = 2718110330

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Least Common Multiple of 52130 and 52141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52130 and 52141, than apply into the LCM equation.

GCF(52130,52141) = 1
LCM(52130,52141) = ( 52130 × 52141) / 1
LCM(52130,52141) = 2718110330 / 1
LCM(52130,52141) = 2718110330

Least Common Multiple (LCM) of 52130 and 52141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52130 and 52141. First we will calculate the prime factors of 52130 and 52141.

Prime Factorization of 52130

Prime factors of 52130 are 2, 5, 13, 401. Prime factorization of 52130 in exponential form is:

52130 = 21 × 51 × 131 × 4011

Prime Factorization of 52141

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

52141 = 231 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 52130 and 52141.

LCM(52130,52141) = 21 × 51 × 131 × 4011 × 231 × 22671
LCM(52130,52141) = 2718110330