What is the Least Common Multiple of 74808 and 74823?

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 74808 and 74823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74808 and 74823, than apply into the LCM equation.

GCF(74808,74823) = 3
LCM(74808,74823) = ( 74808 × 74823) / 3
LCM(74808,74823) = 5597358984 / 3
LCM(74808,74823) = 1865786328

Least Common Multiple (LCM) of 74808 and 74823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74808 and 74823. First we will calculate the prime factors of 74808 and 74823.

Prime Factorization of 74808

Prime Factorization of 74823

Now multiplying the highest exponent prime factors to calculate the LCM of 74808 and 74823.

LCM(74808,74823) = 2³ × 3² × 1039¹ × 7² × 509¹
LCM(74808,74823) = 1865786328