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What is the Least Common Multiple of 68150 and 68163?

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 68150 and 68163 is 4645308450.

LCM(68150,68163) = 4645308450

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Least Common Multiple of 68150 and 68163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68150 and 68163, than apply into the LCM equation.

GCF(68150,68163) = 1
LCM(68150,68163) = ( 68150 × 68163) / 1
LCM(68150,68163) = 4645308450 / 1
LCM(68150,68163) = 4645308450

Least Common Multiple (LCM) of 68150 and 68163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68150 and 68163. First we will calculate the prime factors of 68150 and 68163.

Prime Factorization of 68150

Prime factors of 68150 are 2, 5, 29, 47. Prime factorization of 68150 in exponential form is:

68150 = 21 × 52 × 291 × 471

Prime Factorization of 68163

Prime factors of 68163 are 3, 22721. Prime factorization of 68163 in exponential form is:

68163 = 31 × 227211

Now multiplying the highest exponent prime factors to calculate the LCM of 68150 and 68163.

LCM(68150,68163) = 21 × 52 × 291 × 471 × 31 × 227211
LCM(68150,68163) = 4645308450