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What is the Least Common Multiple of 68221 and 68236?

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 68236 is 4655128156.

LCM(68221,68236) = 4655128156

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Least Common Multiple of 68221 and 68236 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 68236, than apply into the LCM equation.

GCF(68221,68236) = 1
LCM(68221,68236) = ( 68221 × 68236) / 1
LCM(68221,68236) = 4655128156 / 1
LCM(68221,68236) = 4655128156

Least Common Multiple (LCM) of 68221 and 68236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68221 and 68236. First we will calculate the prime factors of 68221 and 68236.

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 68236

Prime factors of 68236 are 2, 7, 2437. Prime factorization of 68236 in exponential form is:

68236 = 22 × 71 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 68221 and 68236.

LCM(68221,68236) = 171 × 40131 × 22 × 71 × 24371
LCM(68221,68236) = 4655128156