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What is the Least Common Multiple of 40366 and 40383?

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 40366 and 40383 is 1630100178.

LCM(40366,40383) = 1630100178

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Least Common Multiple of 40366 and 40383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40366 and 40383, than apply into the LCM equation.

GCF(40366,40383) = 1
LCM(40366,40383) = ( 40366 × 40383) / 1
LCM(40366,40383) = 1630100178 / 1
LCM(40366,40383) = 1630100178

Least Common Multiple (LCM) of 40366 and 40383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40366 and 40383. First we will calculate the prime factors of 40366 and 40383.

Prime Factorization of 40366

Prime factors of 40366 are 2, 20183. Prime factorization of 40366 in exponential form is:

40366 = 21 × 201831

Prime Factorization of 40383

Prime factors of 40383 are 3, 7, 641. Prime factorization of 40383 in exponential form is:

40383 = 32 × 71 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 40366 and 40383.

LCM(40366,40383) = 21 × 201831 × 32 × 71 × 6411
LCM(40366,40383) = 1630100178