What is the Least Common Multiple of 74856 and 74863?

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 74863 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 74863, than apply into the LCM equation.

GCF(74856,74863) = 1
LCM(74856,74863) = ( 74856 × 74863) / 1
LCM(74856,74863) = 5603944728 / 1
LCM(74856,74863) = 5603944728

Least Common Multiple (LCM) of 74856 and 74863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74856 and 74863. First we will calculate the prime factors of 74856 and 74863.

Prime Factorization of 74856

Prime Factorization of 74863

Now multiplying the highest exponent prime factors to calculate the LCM of 74856 and 74863.

LCM(74856,74863) = 2³ × 3¹ × 3119¹ × 43¹ × 1741¹
LCM(74856,74863) = 5603944728