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What is the Least Common Multiple of 43803 and 43818?

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 43803 and 43818 is 639786618.

LCM(43803,43818) = 639786618

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Least Common Multiple of 43803 and 43818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43803 and 43818, than apply into the LCM equation.

GCF(43803,43818) = 3
LCM(43803,43818) = ( 43803 × 43818) / 3
LCM(43803,43818) = 1919359854 / 3
LCM(43803,43818) = 639786618

Least Common Multiple (LCM) of 43803 and 43818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43803 and 43818. First we will calculate the prime factors of 43803 and 43818.

Prime Factorization of 43803

Prime factors of 43803 are 3, 31, 157. Prime factorization of 43803 in exponential form is:

43803 = 32 × 311 × 1571

Prime Factorization of 43818

Prime factors of 43818 are 2, 3, 67, 109. Prime factorization of 43818 in exponential form is:

43818 = 21 × 31 × 671 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 43803 and 43818.

LCM(43803,43818) = 32 × 311 × 1571 × 21 × 671 × 1091
LCM(43803,43818) = 639786618