What is the Least Common Multiple of 74296 and 74300?

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 74296 and 74300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74296 and 74300, than apply into the LCM equation.

GCF(74296,74300) = 4
LCM(74296,74300) = ( 74296 × 74300) / 4
LCM(74296,74300) = 5520192800 / 4
LCM(74296,74300) = 1380048200

Least Common Multiple (LCM) of 74296 and 74300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74296 and 74300. First we will calculate the prime factors of 74296 and 74300.

Prime Factorization of 74296

Prime Factorization of 74300

Now multiplying the highest exponent prime factors to calculate the LCM of 74296 and 74300.

LCM(74296,74300) = 2³ × 37¹ × 251¹ × 5² × 743¹
LCM(74296,74300) = 1380048200