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What is the Least Common Multiple of 51132 and 51145?

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 51132 and 51145 is 2615146140.

LCM(51132,51145) = 2615146140

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Least Common Multiple of 51132 and 51145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51132 and 51145, than apply into the LCM equation.

GCF(51132,51145) = 1
LCM(51132,51145) = ( 51132 × 51145) / 1
LCM(51132,51145) = 2615146140 / 1
LCM(51132,51145) = 2615146140

Least Common Multiple (LCM) of 51132 and 51145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51132 and 51145. First we will calculate the prime factors of 51132 and 51145.

Prime Factorization of 51132

Prime factors of 51132 are 2, 3, 4261. Prime factorization of 51132 in exponential form is:

51132 = 22 × 31 × 42611

Prime Factorization of 51145

Prime factors of 51145 are 5, 53, 193. Prime factorization of 51145 in exponential form is:

51145 = 51 × 531 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 51132 and 51145.

LCM(51132,51145) = 22 × 31 × 42611 × 51 × 531 × 1931
LCM(51132,51145) = 2615146140