What is the Least Common Multiple of 35854 and 35874?

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 35854 and 35874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35854 and 35874, than apply into the LCM equation.

GCF(35854,35874) = 2
LCM(35854,35874) = ( 35854 × 35874) / 2
LCM(35854,35874) = 1286226396 / 2
LCM(35854,35874) = 643113198

Least Common Multiple (LCM) of 35854 and 35874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35854 and 35874. First we will calculate the prime factors of 35854 and 35874.

Prime Factorization of 35854

Prime Factorization of 35874

Now multiplying the highest exponent prime factors to calculate the LCM of 35854 and 35874.

LCM(35854,35874) = 2¹ × 7¹ × 13¹ × 197¹ × 3² × 1993¹
LCM(35854,35874) = 643113198