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What is the Least Common Multiple of 26125 and 26129?

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 26125 and 26129 is 682620125.

LCM(26125,26129) = 682620125

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Least Common Multiple of 26125 and 26129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26125 and 26129, than apply into the LCM equation.

GCF(26125,26129) = 1
LCM(26125,26129) = ( 26125 × 26129) / 1
LCM(26125,26129) = 682620125 / 1
LCM(26125,26129) = 682620125

Least Common Multiple (LCM) of 26125 and 26129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26125 and 26129. First we will calculate the prime factors of 26125 and 26129.

Prime Factorization of 26125

Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:

26125 = 53 × 111 × 191

Prime Factorization of 26129

Prime factors of 26129 are 17, 29, 53. Prime factorization of 26129 in exponential form is:

26129 = 171 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 26125 and 26129.

LCM(26125,26129) = 53 × 111 × 191 × 171 × 291 × 531
LCM(26125,26129) = 682620125