What is the Least Common Multiple of 74801 and 74819?

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 74801 and 74819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74801 and 74819, than apply into the LCM equation.

GCF(74801,74819) = 1
LCM(74801,74819) = ( 74801 × 74819) / 1
LCM(74801,74819) = 5596536019 / 1
LCM(74801,74819) = 5596536019

Least Common Multiple (LCM) of 74801 and 74819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74801 and 74819. First we will calculate the prime factors of 74801 and 74819.

Prime Factorization of 74801

Prime Factorization of 74819

Now multiplying the highest exponent prime factors to calculate the LCM of 74801 and 74819.

LCM(74801,74819) = 131¹ × 571¹ × 23¹ × 3253¹
LCM(74801,74819) = 5596536019