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What is the Least Common Multiple of 69153 and 69168?

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 69153 and 69168 is 1594391568.

LCM(69153,69168) = 1594391568

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Least Common Multiple of 69153 and 69168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69153 and 69168, than apply into the LCM equation.

GCF(69153,69168) = 3
LCM(69153,69168) = ( 69153 × 69168) / 3
LCM(69153,69168) = 4783174704 / 3
LCM(69153,69168) = 1594391568

Least Common Multiple (LCM) of 69153 and 69168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69153 and 69168. First we will calculate the prime factors of 69153 and 69168.

Prime Factorization of 69153

Prime factors of 69153 are 3, 7, 37, 89. Prime factorization of 69153 in exponential form is:

69153 = 31 × 71 × 371 × 891

Prime Factorization of 69168

Prime factors of 69168 are 2, 3, 11, 131. Prime factorization of 69168 in exponential form is:

69168 = 24 × 31 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 69153 and 69168.

LCM(69153,69168) = 31 × 71 × 371 × 891 × 24 × 111 × 1311
LCM(69153,69168) = 1594391568