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What is the Least Common Multiple of 43548 and 43562?

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 43548 and 43562 is 948518988.

LCM(43548,43562) = 948518988

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Least Common Multiple of 43548 and 43562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43548 and 43562, than apply into the LCM equation.

GCF(43548,43562) = 2
LCM(43548,43562) = ( 43548 × 43562) / 2
LCM(43548,43562) = 1897037976 / 2
LCM(43548,43562) = 948518988

Least Common Multiple (LCM) of 43548 and 43562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43548 and 43562. First we will calculate the prime factors of 43548 and 43562.

Prime Factorization of 43548

Prime factors of 43548 are 2, 3, 19, 191. Prime factorization of 43548 in exponential form is:

43548 = 22 × 31 × 191 × 1911

Prime Factorization of 43562

Prime factors of 43562 are 2, 23, 947. Prime factorization of 43562 in exponential form is:

43562 = 21 × 231 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 43548 and 43562.

LCM(43548,43562) = 22 × 31 × 191 × 1911 × 231 × 9471
LCM(43548,43562) = 948518988