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What is the Least Common Multiple of 68189 and 68194?

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 68194 is 4650080666.

LCM(68189,68194) = 4650080666

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Least Common Multiple of 68189 and 68194 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 68194, than apply into the LCM equation.

GCF(68189,68194) = 1
LCM(68189,68194) = ( 68189 × 68194) / 1
LCM(68189,68194) = 4650080666 / 1
LCM(68189,68194) = 4650080666

Least Common Multiple (LCM) of 68189 and 68194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68189 and 68194. First we will calculate the prime factors of 68189 and 68194.

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 68194

Prime factors of 68194 are 2, 7, 4871. Prime factorization of 68194 in exponential form is:

68194 = 21 × 71 × 48711

Now multiplying the highest exponent prime factors to calculate the LCM of 68189 and 68194.

LCM(68189,68194) = 111 × 61991 × 21 × 71 × 48711
LCM(68189,68194) = 4650080666