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What is the Least Common Multiple of 41744 and 41764?

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 41744 and 41764 is 435849104.

LCM(41744,41764) = 435849104

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Least Common Multiple of 41744 and 41764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41744 and 41764, than apply into the LCM equation.

GCF(41744,41764) = 4
LCM(41744,41764) = ( 41744 × 41764) / 4
LCM(41744,41764) = 1743396416 / 4
LCM(41744,41764) = 435849104

Least Common Multiple (LCM) of 41744 and 41764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41744 and 41764. First we will calculate the prime factors of 41744 and 41764.

Prime Factorization of 41744

Prime factors of 41744 are 2, 2609. Prime factorization of 41744 in exponential form is:

41744 = 24 × 26091

Prime Factorization of 41764

Prime factors of 41764 are 2, 53, 197. Prime factorization of 41764 in exponential form is:

41764 = 22 × 531 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 41744 and 41764.

LCM(41744,41764) = 24 × 26091 × 531 × 1971
LCM(41744,41764) = 435849104