What is the Least Common Multiple of 74296 and 74307?

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 74307 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 74307, than apply into the LCM equation.

GCF(74296,74307) = 1
LCM(74296,74307) = ( 74296 × 74307) / 1
LCM(74296,74307) = 5520712872 / 1
LCM(74296,74307) = 5520712872

Least Common Multiple (LCM) of 74296 and 74307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74296 and 74307. First we will calculate the prime factors of 74296 and 74307.

Prime Factorization of 74296

Prime Factorization of 74307

Now multiplying the highest exponent prime factors to calculate the LCM of 74296 and 74307.

LCM(74296,74307) = 2³ × 37¹ × 251¹ × 3¹ × 17¹ × 31¹ × 47¹
LCM(74296,74307) = 5520712872