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What is the Least Common Multiple of 69196 and 69200?

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 69196 and 69200 is 1197090800.

LCM(69196,69200) = 1197090800

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Least Common Multiple of 69196 and 69200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69196 and 69200, than apply into the LCM equation.

GCF(69196,69200) = 4
LCM(69196,69200) = ( 69196 × 69200) / 4
LCM(69196,69200) = 4788363200 / 4
LCM(69196,69200) = 1197090800

Least Common Multiple (LCM) of 69196 and 69200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69196 and 69200. First we will calculate the prime factors of 69196 and 69200.

Prime Factorization of 69196

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

69196 = 22 × 172991

Prime Factorization of 69200

Prime factors of 69200 are 2, 5, 173. Prime factorization of 69200 in exponential form is:

69200 = 24 × 52 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 69196 and 69200.

LCM(69196,69200) = 24 × 172991 × 52 × 1731
LCM(69196,69200) = 1197090800