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What is the Least Common Multiple of 43611 and 43622?

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 43611 and 43622 is 1902399042.

LCM(43611,43622) = 1902399042

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Least Common Multiple of 43611 and 43622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43611 and 43622, than apply into the LCM equation.

GCF(43611,43622) = 1
LCM(43611,43622) = ( 43611 × 43622) / 1
LCM(43611,43622) = 1902399042 / 1
LCM(43611,43622) = 1902399042

Least Common Multiple (LCM) of 43611 and 43622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43611 and 43622. First we will calculate the prime factors of 43611 and 43622.

Prime Factorization of 43611

Prime factors of 43611 are 3, 14537. Prime factorization of 43611 in exponential form is:

43611 = 31 × 145371

Prime Factorization of 43622

Prime factors of 43622 are 2, 17, 1283. Prime factorization of 43622 in exponential form is:

43622 = 21 × 171 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 43611 and 43622.

LCM(43611,43622) = 31 × 145371 × 21 × 171 × 12831
LCM(43611,43622) = 1902399042