What is the Least Common Multiple of 74856 and 74876?

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 74856 and 74876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74856 and 74876, than apply into the LCM equation.

GCF(74856,74876) = 4
LCM(74856,74876) = ( 74856 × 74876) / 4
LCM(74856,74876) = 5604917856 / 4
LCM(74856,74876) = 1401229464

Least Common Multiple (LCM) of 74856 and 74876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74856 and 74876. First we will calculate the prime factors of 74856 and 74876.

Prime Factorization of 74856

Prime Factorization of 74876

Now multiplying the highest exponent prime factors to calculate the LCM of 74856 and 74876.

LCM(74856,74876) = 2³ × 3¹ × 3119¹ × 18719¹
LCM(74856,74876) = 1401229464