GCF and LCM Calculator Logo

What is the Least Common Multiple of 54822 and 54835?

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 54822 and 54835 is 3006164370.

LCM(54822,54835) = 3006164370

LCM Calculator and
and

Least Common Multiple of 54822 and 54835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54822 and 54835, than apply into the LCM equation.

GCF(54822,54835) = 1
LCM(54822,54835) = ( 54822 × 54835) / 1
LCM(54822,54835) = 3006164370 / 1
LCM(54822,54835) = 3006164370

Least Common Multiple (LCM) of 54822 and 54835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54822 and 54835. First we will calculate the prime factors of 54822 and 54835.

Prime Factorization of 54822

Prime factors of 54822 are 2, 3, 9137. Prime factorization of 54822 in exponential form is:

54822 = 21 × 31 × 91371

Prime Factorization of 54835

Prime factors of 54835 are 5, 11, 997. Prime factorization of 54835 in exponential form is:

54835 = 51 × 111 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 54822 and 54835.

LCM(54822,54835) = 21 × 31 × 91371 × 51 × 111 × 9971
LCM(54822,54835) = 3006164370