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What is the Least Common Multiple of 69111 and 69126?

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 69111 and 69126 is 1592455662.

LCM(69111,69126) = 1592455662

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Least Common Multiple of 69111 and 69126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69111 and 69126, than apply into the LCM equation.

GCF(69111,69126) = 3
LCM(69111,69126) = ( 69111 × 69126) / 3
LCM(69111,69126) = 4777366986 / 3
LCM(69111,69126) = 1592455662

Least Common Multiple (LCM) of 69111 and 69126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69111 and 69126. First we will calculate the prime factors of 69111 and 69126.

Prime Factorization of 69111

Prime factors of 69111 are 3, 7, 1097. Prime factorization of 69111 in exponential form is:

69111 = 32 × 71 × 10971

Prime Factorization of 69126

Prime factors of 69126 are 2, 3, 41, 281. Prime factorization of 69126 in exponential form is:

69126 = 21 × 31 × 411 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 69111 and 69126.

LCM(69111,69126) = 32 × 71 × 10971 × 21 × 411 × 2811
LCM(69111,69126) = 1592455662