What is the Least Common Multiple of 76856 and 76874?

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 76856 and 76874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76856 and 76874, than apply into the LCM equation.

GCF(76856,76874) = 2
LCM(76856,76874) = ( 76856 × 76874) / 2
LCM(76856,76874) = 5908228144 / 2
LCM(76856,76874) = 2954114072

Least Common Multiple (LCM) of 76856 and 76874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76856 and 76874. First we will calculate the prime factors of 76856 and 76874.

Prime Factorization of 76856

Prime Factorization of 76874

Now multiplying the highest exponent prime factors to calculate the LCM of 76856 and 76874.

LCM(76856,76874) = 2³ × 13¹ × 739¹ × 7¹ × 17² × 19¹
LCM(76856,76874) = 2954114072