What is the Least Common Multiple of 87856 and 87874?

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 87856 and 87874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87856 and 87874, than apply into the LCM equation.

GCF(87856,87874) = 2
LCM(87856,87874) = ( 87856 × 87874) / 2
LCM(87856,87874) = 7720258144 / 2
LCM(87856,87874) = 3860129072

Least Common Multiple (LCM) of 87856 and 87874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87856 and 87874. First we will calculate the prime factors of 87856 and 87874.

Prime Factorization of 87856

Prime Factorization of 87874

Now multiplying the highest exponent prime factors to calculate the LCM of 87856 and 87874.

LCM(87856,87874) = 2⁴ × 17² × 19¹ × 53¹ × 829¹
LCM(87856,87874) = 3860129072