GCF and LCM Calculator Logo

What is the Least Common Multiple of 48819 and 48835?

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 48819 and 48835 is 2384075865.

LCM(48819,48835) = 2384075865

LCM Calculator and
and

Least Common Multiple of 48819 and 48835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48819 and 48835, than apply into the LCM equation.

GCF(48819,48835) = 1
LCM(48819,48835) = ( 48819 × 48835) / 1
LCM(48819,48835) = 2384075865 / 1
LCM(48819,48835) = 2384075865

Least Common Multiple (LCM) of 48819 and 48835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48819 and 48835. First we will calculate the prime factors of 48819 and 48835.

Prime Factorization of 48819

Prime factors of 48819 are 3, 16273. Prime factorization of 48819 in exponential form is:

48819 = 31 × 162731

Prime Factorization of 48835

Prime factors of 48835 are 5, 9767. Prime factorization of 48835 in exponential form is:

48835 = 51 × 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 48819 and 48835.

LCM(48819,48835) = 31 × 162731 × 51 × 97671
LCM(48819,48835) = 2384075865