What is the Least Common Multiple of 74512 and 74530?

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 74512 and 74530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74512 and 74530, than apply into the LCM equation.

GCF(74512,74530) = 2
LCM(74512,74530) = ( 74512 × 74530) / 2
LCM(74512,74530) = 5553379360 / 2
LCM(74512,74530) = 2776689680

Least Common Multiple (LCM) of 74512 and 74530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74512 and 74530. First we will calculate the prime factors of 74512 and 74530.

Prime Factorization of 74512

Prime Factorization of 74530

Now multiplying the highest exponent prime factors to calculate the LCM of 74512 and 74530.

LCM(74512,74530) = 2⁴ × 4657¹ × 5¹ × 29¹ × 257¹
LCM(74512,74530) = 2776689680