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What is the Least Common Multiple of 67306 and 67322?

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 67306 and 67322 is 2265587266.

LCM(67306,67322) = 2265587266

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Least Common Multiple of 67306 and 67322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67306 and 67322, than apply into the LCM equation.

GCF(67306,67322) = 2
LCM(67306,67322) = ( 67306 × 67322) / 2
LCM(67306,67322) = 4531174532 / 2
LCM(67306,67322) = 2265587266

Least Common Multiple (LCM) of 67306 and 67322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67306 and 67322. First we will calculate the prime factors of 67306 and 67322.

Prime Factorization of 67306

Prime factors of 67306 are 2, 73, 461. Prime factorization of 67306 in exponential form is:

67306 = 21 × 731 × 4611

Prime Factorization of 67322

Prime factors of 67322 are 2, 41, 821. Prime factorization of 67322 in exponential form is:

67322 = 21 × 411 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 67306 and 67322.

LCM(67306,67322) = 21 × 731 × 4611 × 411 × 8211
LCM(67306,67322) = 2265587266