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What is the Least Common Multiple of 41795 and 41800?

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 41795 and 41800 is 349406200.

LCM(41795,41800) = 349406200

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Least Common Multiple of 41795 and 41800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41795 and 41800, than apply into the LCM equation.

GCF(41795,41800) = 5
LCM(41795,41800) = ( 41795 × 41800) / 5
LCM(41795,41800) = 1747031000 / 5
LCM(41795,41800) = 349406200

Least Common Multiple (LCM) of 41795 and 41800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41795 and 41800. First we will calculate the prime factors of 41795 and 41800.

Prime Factorization of 41795

Prime factors of 41795 are 5, 13, 643. Prime factorization of 41795 in exponential form is:

41795 = 51 × 131 × 6431

Prime Factorization of 41800

Prime factors of 41800 are 2, 5, 11, 19. Prime factorization of 41800 in exponential form is:

41800 = 23 × 52 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 41795 and 41800.

LCM(41795,41800) = 52 × 131 × 6431 × 23 × 111 × 191
LCM(41795,41800) = 349406200