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What is the Least Common Multiple of 41437 and 41445?

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 41437 and 41445 is 1717356465.

LCM(41437,41445) = 1717356465

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Least Common Multiple of 41437 and 41445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41437 and 41445, than apply into the LCM equation.

GCF(41437,41445) = 1
LCM(41437,41445) = ( 41437 × 41445) / 1
LCM(41437,41445) = 1717356465 / 1
LCM(41437,41445) = 1717356465

Least Common Multiple (LCM) of 41437 and 41445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41437 and 41445. First we will calculate the prime factors of 41437 and 41445.

Prime Factorization of 41437

Prime factors of 41437 are 11, 3767. Prime factorization of 41437 in exponential form is:

41437 = 111 × 37671

Prime Factorization of 41445

Prime factors of 41445 are 3, 5, 307. Prime factorization of 41445 in exponential form is:

41445 = 33 × 51 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 41437 and 41445.

LCM(41437,41445) = 111 × 37671 × 33 × 51 × 3071
LCM(41437,41445) = 1717356465