What is the Least Common Multiple of 74240 and 74259?

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 74240 and 74259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74240 and 74259, than apply into the LCM equation.

GCF(74240,74259) = 1
LCM(74240,74259) = ( 74240 × 74259) / 1
LCM(74240,74259) = 5512988160 / 1
LCM(74240,74259) = 5512988160

Least Common Multiple (LCM) of 74240 and 74259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74240 and 74259. First we will calculate the prime factors of 74240 and 74259.

Prime Factorization of 74240

Prime Factorization of 74259

Now multiplying the highest exponent prime factors to calculate the LCM of 74240 and 74259.

LCM(74240,74259) = 2⁹ × 5¹ × 29¹ × 3² × 37¹ × 223¹
LCM(74240,74259) = 5512988160