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What is the Least Common Multiple of 43436 and 43453?

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 43436 and 43453 is 1887424508.

LCM(43436,43453) = 1887424508

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Least Common Multiple of 43436 and 43453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43436 and 43453, than apply into the LCM equation.

GCF(43436,43453) = 1
LCM(43436,43453) = ( 43436 × 43453) / 1
LCM(43436,43453) = 1887424508 / 1
LCM(43436,43453) = 1887424508

Least Common Multiple (LCM) of 43436 and 43453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43436 and 43453. First we will calculate the prime factors of 43436 and 43453.

Prime Factorization of 43436

Prime factors of 43436 are 2, 10859. Prime factorization of 43436 in exponential form is:

43436 = 22 × 108591

Prime Factorization of 43453

Prime factors of 43453 are 19, 2287. Prime factorization of 43453 in exponential form is:

43453 = 191 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 43436 and 43453.

LCM(43436,43453) = 22 × 108591 × 191 × 22871
LCM(43436,43453) = 1887424508