What is the Least Common Multiple of 68804 and 68819?

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 68804 and 68819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68804 and 68819, than apply into the LCM equation.

GCF(68804,68819) = 1
LCM(68804,68819) = ( 68804 × 68819) / 1
LCM(68804,68819) = 4735022476 / 1
LCM(68804,68819) = 4735022476

Least Common Multiple (LCM) of 68804 and 68819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68804 and 68819. First we will calculate the prime factors of 68804 and 68819.

Prime Factorization of 68804

Prime Factorization of 68819

Now multiplying the highest exponent prime factors to calculate the LCM of 68804 and 68819.

LCM(68804,68819) = 2² × 103¹ × 167¹ × 68819¹
LCM(68804,68819) = 4735022476