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What is the Least Common Multiple of 68221 and 68232?

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 68221 and 68232 is 4654855272.

LCM(68221,68232) = 4654855272

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Least Common Multiple of 68221 and 68232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68221 and 68232, than apply into the LCM equation.

GCF(68221,68232) = 1
LCM(68221,68232) = ( 68221 × 68232) / 1
LCM(68221,68232) = 4654855272 / 1
LCM(68221,68232) = 4654855272

Least Common Multiple (LCM) of 68221 and 68232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68221 and 68232. First we will calculate the prime factors of 68221 and 68232.

Prime Factorization of 68221

Prime factors of 68221 are 17, 4013. Prime factorization of 68221 in exponential form is:

68221 = 171 × 40131

Prime Factorization of 68232

Prime factors of 68232 are 2, 3, 2843. Prime factorization of 68232 in exponential form is:

68232 = 23 × 31 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 68221 and 68232.

LCM(68221,68232) = 171 × 40131 × 23 × 31 × 28431
LCM(68221,68232) = 4654855272