GCF and LCM Calculator Logo

What is the Least Common Multiple of 55803 and 55822?

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 55803 and 55822 is 163949214.

LCM(55803,55822) = 163949214

LCM Calculator and
and

Least Common Multiple of 55803 and 55822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55803 and 55822, than apply into the LCM equation.

GCF(55803,55822) = 19
LCM(55803,55822) = ( 55803 × 55822) / 19
LCM(55803,55822) = 3115035066 / 19
LCM(55803,55822) = 163949214

Least Common Multiple (LCM) of 55803 and 55822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55803 and 55822. First we will calculate the prime factors of 55803 and 55822.

Prime Factorization of 55803

Prime factors of 55803 are 3, 11, 19, 89. Prime factorization of 55803 in exponential form is:

55803 = 31 × 111 × 191 × 891

Prime Factorization of 55822

Prime factors of 55822 are 2, 13, 19, 113. Prime factorization of 55822 in exponential form is:

55822 = 21 × 131 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 55803 and 55822.

LCM(55803,55822) = 31 × 111 × 191 × 891 × 21 × 131 × 1131
LCM(55803,55822) = 163949214