What is the Least Common Multiple of 74241 and 74248?

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 74241 and 74248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74241 and 74248, than apply into the LCM equation.

GCF(74241,74248) = 1
LCM(74241,74248) = ( 74241 × 74248) / 1
LCM(74241,74248) = 5512245768 / 1
LCM(74241,74248) = 5512245768

Least Common Multiple (LCM) of 74241 and 74248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74241 and 74248. First we will calculate the prime factors of 74241 and 74248.

Prime Factorization of 74241

Prime Factorization of 74248

Now multiplying the highest exponent prime factors to calculate the LCM of 74241 and 74248.

LCM(74241,74248) = 3² × 73¹ × 113¹ × 2³ × 9281¹
LCM(74241,74248) = 5512245768