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What is the Least Common Multiple of 68176 and 68188?

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 68176 and 68188 is 1162196272.

LCM(68176,68188) = 1162196272

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Least Common Multiple of 68176 and 68188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68176 and 68188, than apply into the LCM equation.

GCF(68176,68188) = 4
LCM(68176,68188) = ( 68176 × 68188) / 4
LCM(68176,68188) = 4648785088 / 4
LCM(68176,68188) = 1162196272

Least Common Multiple (LCM) of 68176 and 68188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68176 and 68188. First we will calculate the prime factors of 68176 and 68188.

Prime Factorization of 68176

Prime factors of 68176 are 2, 4261. Prime factorization of 68176 in exponential form is:

68176 = 24 × 42611

Prime Factorization of 68188

Prime factors of 68188 are 2, 17047. Prime factorization of 68188 in exponential form is:

68188 = 22 × 170471

Now multiplying the highest exponent prime factors to calculate the LCM of 68176 and 68188.

LCM(68176,68188) = 24 × 42611 × 170471
LCM(68176,68188) = 1162196272