What is the Least Common Multiple of 74500 and 74510?

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 74500 and 74510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74500 and 74510, than apply into the LCM equation.

GCF(74500,74510) = 10
LCM(74500,74510) = ( 74500 × 74510) / 10
LCM(74500,74510) = 5550995000 / 10
LCM(74500,74510) = 555099500

Least Common Multiple (LCM) of 74500 and 74510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74500 and 74510. First we will calculate the prime factors of 74500 and 74510.

Prime Factorization of 74500

Prime Factorization of 74510

Now multiplying the highest exponent prime factors to calculate the LCM of 74500 and 74510.

LCM(74500,74510) = 2² × 5³ × 149¹ × 7451¹
LCM(74500,74510) = 555099500