What is the Least Common Multiple of 10802 and 10819?

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 of 10802 and 10819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10802 and 10819, than apply into the LCM equation.

GCF(10802,10819) = 1
LCM(10802,10819) = ( 10802 × 10819) / 1
LCM(10802,10819) = 116866838 / 1
LCM(10802,10819) = 116866838

Least Common Multiple (LCM) of 10802 and 10819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10802 and 10819. First we will calculate the prime factors of 10802 and 10819.

Prime Factorization of 10802

Prime Factorization of 10819

Now multiplying the highest exponent prime factors to calculate the LCM of 10802 and 10819.

LCM(10802,10819) = 2¹ × 11¹ × 491¹ × 31¹ × 349¹
LCM(10802,10819) = 116866838