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What is the Least Common Multiple of 67030 and 67036?

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 67030 and 67036 is 2246711540.

LCM(67030,67036) = 2246711540

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Least Common Multiple of 67030 and 67036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67030 and 67036, than apply into the LCM equation.

GCF(67030,67036) = 2
LCM(67030,67036) = ( 67030 × 67036) / 2
LCM(67030,67036) = 4493423080 / 2
LCM(67030,67036) = 2246711540

Least Common Multiple (LCM) of 67030 and 67036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67030 and 67036. First we will calculate the prime factors of 67030 and 67036.

Prime Factorization of 67030

Prime factors of 67030 are 2, 5, 6703. Prime factorization of 67030 in exponential form is:

67030 = 21 × 51 × 67031

Prime Factorization of 67036

Prime factors of 67036 are 2, 16759. Prime factorization of 67036 in exponential form is:

67036 = 22 × 167591

Now multiplying the highest exponent prime factors to calculate the LCM of 67030 and 67036.

LCM(67030,67036) = 22 × 51 × 67031 × 167591
LCM(67030,67036) = 2246711540