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What is the Least Common Multiple of 67068 and 67073?

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 67068 and 67073 is 4498451964.

LCM(67068,67073) = 4498451964

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Least Common Multiple of 67068 and 67073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67068 and 67073, than apply into the LCM equation.

GCF(67068,67073) = 1
LCM(67068,67073) = ( 67068 × 67073) / 1
LCM(67068,67073) = 4498451964 / 1
LCM(67068,67073) = 4498451964

Least Common Multiple (LCM) of 67068 and 67073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67068 and 67073. First we will calculate the prime factors of 67068 and 67073.

Prime Factorization of 67068

Prime factors of 67068 are 2, 3, 23. Prime factorization of 67068 in exponential form is:

67068 = 22 × 36 × 231

Prime Factorization of 67073

Prime factors of 67073 are 67073. Prime factorization of 67073 in exponential form is:

67073 = 670731

Now multiplying the highest exponent prime factors to calculate the LCM of 67068 and 67073.

LCM(67068,67073) = 22 × 36 × 231 × 670731
LCM(67068,67073) = 4498451964