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What is the Least Common Multiple of 43169 and 43182?

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 43169 and 43182 is 1864123758.

LCM(43169,43182) = 1864123758

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Least Common Multiple of 43169 and 43182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43169 and 43182, than apply into the LCM equation.

GCF(43169,43182) = 1
LCM(43169,43182) = ( 43169 × 43182) / 1
LCM(43169,43182) = 1864123758 / 1
LCM(43169,43182) = 1864123758

Least Common Multiple (LCM) of 43169 and 43182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43169 and 43182. First we will calculate the prime factors of 43169 and 43182.

Prime Factorization of 43169

Prime factors of 43169 are 7, 881. Prime factorization of 43169 in exponential form is:

43169 = 72 × 8811

Prime Factorization of 43182

Prime factors of 43182 are 2, 3, 2399. Prime factorization of 43182 in exponential form is:

43182 = 21 × 32 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 43169 and 43182.

LCM(43169,43182) = 72 × 8811 × 21 × 32 × 23991
LCM(43169,43182) = 1864123758