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What is the Least Common Multiple of 67042 and 67054?

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 67042 and 67054 is 2247717134.

LCM(67042,67054) = 2247717134

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Least Common Multiple of 67042 and 67054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67042 and 67054, than apply into the LCM equation.

GCF(67042,67054) = 2
LCM(67042,67054) = ( 67042 × 67054) / 2
LCM(67042,67054) = 4495434268 / 2
LCM(67042,67054) = 2247717134

Least Common Multiple (LCM) of 67042 and 67054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67042 and 67054. First we will calculate the prime factors of 67042 and 67054.

Prime Factorization of 67042

Prime factors of 67042 are 2, 33521. Prime factorization of 67042 in exponential form is:

67042 = 21 × 335211

Prime Factorization of 67054

Prime factors of 67054 are 2, 13, 2579. Prime factorization of 67054 in exponential form is:

67054 = 21 × 131 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 67042 and 67054.

LCM(67042,67054) = 21 × 335211 × 131 × 25791
LCM(67042,67054) = 2247717134