What is the Least Common Multiple of 74856 and 74874?

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 74874 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 74874, than apply into the LCM equation.

GCF(74856,74874) = 6
LCM(74856,74874) = ( 74856 × 74874) / 6
LCM(74856,74874) = 5604768144 / 6
LCM(74856,74874) = 934128024

Least Common Multiple (LCM) of 74856 and 74874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74856 and 74874. First we will calculate the prime factors of 74856 and 74874.

Prime Factorization of 74856

Prime Factorization of 74874

Now multiplying the highest exponent prime factors to calculate the LCM of 74856 and 74874.

LCM(74856,74874) = 2³ × 3¹ × 3119¹ × 12479¹
LCM(74856,74874) = 934128024