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What is the Least Common Multiple of 69192 and 69203?

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 69192 and 69203 is 4788293976.

LCM(69192,69203) = 4788293976

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Least Common Multiple of 69192 and 69203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69192 and 69203, than apply into the LCM equation.

GCF(69192,69203) = 1
LCM(69192,69203) = ( 69192 × 69203) / 1
LCM(69192,69203) = 4788293976 / 1
LCM(69192,69203) = 4788293976

Least Common Multiple (LCM) of 69192 and 69203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69192 and 69203. First we will calculate the prime factors of 69192 and 69203.

Prime Factorization of 69192

Prime factors of 69192 are 2, 3, 31. Prime factorization of 69192 in exponential form is:

69192 = 23 × 32 × 312

Prime Factorization of 69203

Prime factors of 69203 are 69203. Prime factorization of 69203 in exponential form is:

69203 = 692031

Now multiplying the highest exponent prime factors to calculate the LCM of 69192 and 69203.

LCM(69192,69203) = 23 × 32 × 312 × 692031
LCM(69192,69203) = 4788293976