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What is the Least Common Multiple of 1833 and 1852?

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 1833 and 1852 is 3394716.

LCM(1833,1852) = 3394716

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Least Common Multiple of 1833 and 1852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1833 and 1852, than apply into the LCM equation.

GCF(1833,1852) = 1
LCM(1833,1852) = ( 1833 × 1852) / 1
LCM(1833,1852) = 3394716 / 1
LCM(1833,1852) = 3394716

Least Common Multiple (LCM) of 1833 and 1852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1833 and 1852. First we will calculate the prime factors of 1833 and 1852.

Prime Factorization of 1833

Prime factors of 1833 are 3, 13, 47. Prime factorization of 1833 in exponential form is:

1833 = 31 × 131 × 471

Prime Factorization of 1852

Prime factors of 1852 are 2, 463. Prime factorization of 1852 in exponential form is:

1852 = 22 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 1833 and 1852.

LCM(1833,1852) = 31 × 131 × 471 × 22 × 4631
LCM(1833,1852) = 3394716