GCF and LCM Calculator Logo

What is the Least Common Multiple of 40833 and 40839?

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 40833 and 40839 is 555859629.

LCM(40833,40839) = 555859629

LCM Calculator and
and

Least Common Multiple of 40833 and 40839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40833 and 40839, than apply into the LCM equation.

GCF(40833,40839) = 3
LCM(40833,40839) = ( 40833 × 40839) / 3
LCM(40833,40839) = 1667578887 / 3
LCM(40833,40839) = 555859629

Least Common Multiple (LCM) of 40833 and 40839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40833 and 40839. First we will calculate the prime factors of 40833 and 40839.

Prime Factorization of 40833

Prime factors of 40833 are 3, 13, 349. Prime factorization of 40833 in exponential form is:

40833 = 32 × 131 × 3491

Prime Factorization of 40839

Prime factors of 40839 are 3, 13613. Prime factorization of 40839 in exponential form is:

40839 = 31 × 136131

Now multiplying the highest exponent prime factors to calculate the LCM of 40833 and 40839.

LCM(40833,40839) = 32 × 131 × 3491 × 136131
LCM(40833,40839) = 555859629