What is the Least Common Multiple of 74305 and 74320?

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 74305 and 74320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74305 and 74320, than apply into the LCM equation.

GCF(74305,74320) = 5
LCM(74305,74320) = ( 74305 × 74320) / 5
LCM(74305,74320) = 5522347600 / 5
LCM(74305,74320) = 1104469520

Least Common Multiple (LCM) of 74305 and 74320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74305 and 74320. First we will calculate the prime factors of 74305 and 74320.

Prime Factorization of 74305

Prime Factorization of 74320

Now multiplying the highest exponent prime factors to calculate the LCM of 74305 and 74320.

LCM(74305,74320) = 5¹ × 7¹ × 11¹ × 193¹ × 2⁴ × 929¹
LCM(74305,74320) = 1104469520