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What is the Least Common Multiple of 67335 and 67347?

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 67335 and 67347 is 1511603415.

LCM(67335,67347) = 1511603415

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Least Common Multiple of 67335 and 67347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67335 and 67347, than apply into the LCM equation.

GCF(67335,67347) = 3
LCM(67335,67347) = ( 67335 × 67347) / 3
LCM(67335,67347) = 4534810245 / 3
LCM(67335,67347) = 1511603415

Least Common Multiple (LCM) of 67335 and 67347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67335 and 67347. First we will calculate the prime factors of 67335 and 67347.

Prime Factorization of 67335

Prime factors of 67335 are 3, 5, 67. Prime factorization of 67335 in exponential form is:

67335 = 31 × 51 × 672

Prime Factorization of 67347

Prime factors of 67347 are 3, 7, 1069. Prime factorization of 67347 in exponential form is:

67347 = 32 × 71 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 67335 and 67347.

LCM(67335,67347) = 32 × 51 × 672 × 71 × 10691
LCM(67335,67347) = 1511603415