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What is the Least Common Multiple of 43480 and 43485?

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 43480 and 43485 is 378145560.

LCM(43480,43485) = 378145560

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Least Common Multiple of 43480 and 43485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43480 and 43485, than apply into the LCM equation.

GCF(43480,43485) = 5
LCM(43480,43485) = ( 43480 × 43485) / 5
LCM(43480,43485) = 1890727800 / 5
LCM(43480,43485) = 378145560

Least Common Multiple (LCM) of 43480 and 43485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43480 and 43485. First we will calculate the prime factors of 43480 and 43485.

Prime Factorization of 43480

Prime factors of 43480 are 2, 5, 1087. Prime factorization of 43480 in exponential form is:

43480 = 23 × 51 × 10871

Prime Factorization of 43485

Prime factors of 43485 are 3, 5, 13, 223. Prime factorization of 43485 in exponential form is:

43485 = 31 × 51 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 43480 and 43485.

LCM(43480,43485) = 23 × 51 × 10871 × 31 × 131 × 2231
LCM(43480,43485) = 378145560