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What is the Least Common Multiple of 67032 and 67045?

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 67032 and 67045 is 4494160440.

LCM(67032,67045) = 4494160440

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Least Common Multiple of 67032 and 67045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67032 and 67045, than apply into the LCM equation.

GCF(67032,67045) = 1
LCM(67032,67045) = ( 67032 × 67045) / 1
LCM(67032,67045) = 4494160440 / 1
LCM(67032,67045) = 4494160440

Least Common Multiple (LCM) of 67032 and 67045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67032 and 67045. First we will calculate the prime factors of 67032 and 67045.

Prime Factorization of 67032

Prime factors of 67032 are 2, 3, 7, 19. Prime factorization of 67032 in exponential form is:

67032 = 23 × 32 × 72 × 191

Prime Factorization of 67045

Prime factors of 67045 are 5, 11, 23, 53. Prime factorization of 67045 in exponential form is:

67045 = 51 × 111 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 67032 and 67045.

LCM(67032,67045) = 23 × 32 × 72 × 191 × 51 × 111 × 231 × 531
LCM(67032,67045) = 4494160440