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What is the Least Common Multiple of 69183 and 69196?

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 69183 and 69196 is 4787186868.

LCM(69183,69196) = 4787186868

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Least Common Multiple of 69183 and 69196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69183 and 69196, than apply into the LCM equation.

GCF(69183,69196) = 1
LCM(69183,69196) = ( 69183 × 69196) / 1
LCM(69183,69196) = 4787186868 / 1
LCM(69183,69196) = 4787186868

Least Common Multiple (LCM) of 69183 and 69196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69183 and 69196. First we will calculate the prime factors of 69183 and 69196.

Prime Factorization of 69183

Prime factors of 69183 are 3, 7687. Prime factorization of 69183 in exponential form is:

69183 = 32 × 76871

Prime Factorization of 69196

Prime factors of 69196 are 2, 17299. Prime factorization of 69196 in exponential form is:

69196 = 22 × 172991

Now multiplying the highest exponent prime factors to calculate the LCM of 69183 and 69196.

LCM(69183,69196) = 32 × 76871 × 22 × 172991
LCM(69183,69196) = 4787186868