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What is the Least Common Multiple of 43425 and 43436?

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 43425 and 43436 is 1886208300.

LCM(43425,43436) = 1886208300

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Least Common Multiple of 43425 and 43436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43425 and 43436, than apply into the LCM equation.

GCF(43425,43436) = 1
LCM(43425,43436) = ( 43425 × 43436) / 1
LCM(43425,43436) = 1886208300 / 1
LCM(43425,43436) = 1886208300

Least Common Multiple (LCM) of 43425 and 43436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43425 and 43436. First we will calculate the prime factors of 43425 and 43436.

Prime Factorization of 43425

Prime factors of 43425 are 3, 5, 193. Prime factorization of 43425 in exponential form is:

43425 = 32 × 52 × 1931

Prime Factorization of 43436

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

43436 = 22 × 108591

Now multiplying the highest exponent prime factors to calculate the LCM of 43425 and 43436.

LCM(43425,43436) = 32 × 52 × 1931 × 22 × 108591
LCM(43425,43436) = 1886208300