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What is the Least Common Multiple of 43153 and 43167?

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 43153 and 43167 is 1862785551.

LCM(43153,43167) = 1862785551

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Least Common Multiple of 43153 and 43167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43153 and 43167, than apply into the LCM equation.

GCF(43153,43167) = 1
LCM(43153,43167) = ( 43153 × 43167) / 1
LCM(43153,43167) = 1862785551 / 1
LCM(43153,43167) = 1862785551

Least Common Multiple (LCM) of 43153 and 43167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43167. First we will calculate the prime factors of 43153 and 43167.

Prime Factorization of 43153

Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:

43153 = 111 × 39231

Prime Factorization of 43167

Prime factors of 43167 are 3, 14389. Prime factorization of 43167 in exponential form is:

43167 = 31 × 143891

Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43167.

LCM(43153,43167) = 111 × 39231 × 31 × 143891
LCM(43153,43167) = 1862785551