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What is the Least Common Multiple of 43477 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 43477 and 43485 is 1890597345.

LCM(43477,43485) = 1890597345

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Least Common Multiple of 43477 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 43477 and 43485, than apply into the LCM equation.

GCF(43477,43485) = 1
LCM(43477,43485) = ( 43477 × 43485) / 1
LCM(43477,43485) = 1890597345 / 1
LCM(43477,43485) = 1890597345

Least Common Multiple (LCM) of 43477 and 43485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43477 and 43485. First we will calculate the prime factors of 43477 and 43485.

Prime Factorization of 43477

Prime factors of 43477 are 7, 6211. Prime factorization of 43477 in exponential form is:

43477 = 71 × 62111

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 43477 and 43485.

LCM(43477,43485) = 71 × 62111 × 31 × 51 × 131 × 2231
LCM(43477,43485) = 1890597345