What is the Least Common Multiple of 73856 and 73874?

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 73856 and 73874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73856 and 73874, than apply into the LCM equation.

GCF(73856,73874) = 2
LCM(73856,73874) = ( 73856 × 73874) / 2
LCM(73856,73874) = 5456038144 / 2
LCM(73856,73874) = 2728019072

Least Common Multiple (LCM) of 73856 and 73874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73856 and 73874. First we will calculate the prime factors of 73856 and 73874.

Prime Factorization of 73856

Prime Factorization of 73874

Now multiplying the highest exponent prime factors to calculate the LCM of 73856 and 73874.

LCM(73856,73874) = 2⁷ × 577¹ × 43¹ × 859¹
LCM(73856,73874) = 2728019072