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What is the Least Common Multiple of 45641 and 45649?

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 45641 and 45649 is 2083466009.

LCM(45641,45649) = 2083466009

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Least Common Multiple of 45641 and 45649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45641 and 45649, than apply into the LCM equation.

GCF(45641,45649) = 1
LCM(45641,45649) = ( 45641 × 45649) / 1
LCM(45641,45649) = 2083466009 / 1
LCM(45641,45649) = 2083466009

Least Common Multiple (LCM) of 45641 and 45649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45641 and 45649. First we will calculate the prime factors of 45641 and 45649.

Prime Factorization of 45641

Prime factors of 45641 are 45641. Prime factorization of 45641 in exponential form is:

45641 = 456411

Prime Factorization of 45649

Prime factors of 45649 are 191, 239. Prime factorization of 45649 in exponential form is:

45649 = 1911 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 45641 and 45649.

LCM(45641,45649) = 456411 × 1911 × 2391
LCM(45641,45649) = 2083466009