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What is the Least Common Multiple of 43395 and 43406?

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 43395 and 43406 is 171236670.

LCM(43395,43406) = 171236670

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Least Common Multiple of 43395 and 43406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43395 and 43406, than apply into the LCM equation.

GCF(43395,43406) = 11
LCM(43395,43406) = ( 43395 × 43406) / 11
LCM(43395,43406) = 1883603370 / 11
LCM(43395,43406) = 171236670

Least Common Multiple (LCM) of 43395 and 43406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43395 and 43406. First we will calculate the prime factors of 43395 and 43406.

Prime Factorization of 43395

Prime factors of 43395 are 3, 5, 11, 263. Prime factorization of 43395 in exponential form is:

43395 = 31 × 51 × 111 × 2631

Prime Factorization of 43406

Prime factors of 43406 are 2, 11, 1973. Prime factorization of 43406 in exponential form is:

43406 = 21 × 111 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 43395 and 43406.

LCM(43395,43406) = 31 × 51 × 111 × 2631 × 21 × 19731
LCM(43395,43406) = 171236670