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What is the Least Common Multiple of 68189 and 68200?

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 68189 and 68200 is 422771800.

LCM(68189,68200) = 422771800

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Least Common Multiple of 68189 and 68200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68189 and 68200, than apply into the LCM equation.

GCF(68189,68200) = 11
LCM(68189,68200) = ( 68189 × 68200) / 11
LCM(68189,68200) = 4650489800 / 11
LCM(68189,68200) = 422771800

Least Common Multiple (LCM) of 68189 and 68200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68189 and 68200. First we will calculate the prime factors of 68189 and 68200.

Prime Factorization of 68189

Prime factors of 68189 are 11, 6199. Prime factorization of 68189 in exponential form is:

68189 = 111 × 61991

Prime Factorization of 68200

Prime factors of 68200 are 2, 5, 11, 31. Prime factorization of 68200 in exponential form is:

68200 = 23 × 52 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 68189 and 68200.

LCM(68189,68200) = 111 × 61991 × 23 × 52 × 311
LCM(68189,68200) = 422771800