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What is the Least Common Multiple of 83790 and 83803?

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 83790 and 83803 is 7021853370.

LCM(83790,83803) = 7021853370

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Least Common Multiple of 83790 and 83803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83790 and 83803, than apply into the LCM equation.

GCF(83790,83803) = 1
LCM(83790,83803) = ( 83790 × 83803) / 1
LCM(83790,83803) = 7021853370 / 1
LCM(83790,83803) = 7021853370

Least Common Multiple (LCM) of 83790 and 83803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83790 and 83803. First we will calculate the prime factors of 83790 and 83803.

Prime Factorization of 83790

Prime factors of 83790 are 2, 3, 5, 7, 19. Prime factorization of 83790 in exponential form is:

83790 = 21 × 32 × 51 × 72 × 191

Prime Factorization of 83803

Prime factors of 83803 are 181, 463. Prime factorization of 83803 in exponential form is:

83803 = 1811 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 83790 and 83803.

LCM(83790,83803) = 21 × 32 × 51 × 72 × 191 × 1811 × 4631
LCM(83790,83803) = 7021853370