What is the Least Common Multiple of 74514 and 74528?

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 74514 and 74528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74514 and 74528, than apply into the LCM equation.

GCF(74514,74528) = 2
LCM(74514,74528) = ( 74514 × 74528) / 2
LCM(74514,74528) = 5553379392 / 2
LCM(74514,74528) = 2776689696

Least Common Multiple (LCM) of 74514 and 74528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74514 and 74528. First we will calculate the prime factors of 74514 and 74528.

Prime Factorization of 74514

Prime Factorization of 74528

Now multiplying the highest exponent prime factors to calculate the LCM of 74514 and 74528.

LCM(74514,74528) = 2⁵ × 3¹ × 11¹ × 1129¹ × 17¹ × 137¹
LCM(74514,74528) = 2776689696