What is the Least Common Multiple of 74888 and 74893?

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 74888 and 74893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74888 and 74893, than apply into the LCM equation.

GCF(74888,74893) = 1
LCM(74888,74893) = ( 74888 × 74893) / 1
LCM(74888,74893) = 5608586984 / 1
LCM(74888,74893) = 5608586984

Least Common Multiple (LCM) of 74888 and 74893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74888 and 74893. First we will calculate the prime factors of 74888 and 74893.

Prime Factorization of 74888

Prime Factorization of 74893

Now multiplying the highest exponent prime factors to calculate the LCM of 74888 and 74893.

LCM(74888,74893) = 2³ × 11¹ × 23¹ × 37¹ × 7¹ × 13¹ × 823¹
LCM(74888,74893) = 5608586984