What is the Least Common Multiple of 41854 and 41874?

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 41854 and 41874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41854 and 41874, than apply into the LCM equation.

GCF(41854,41874) = 2
LCM(41854,41874) = ( 41854 × 41874) / 2
LCM(41854,41874) = 1752594396 / 2
LCM(41854,41874) = 876297198

Least Common Multiple (LCM) of 41854 and 41874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41854 and 41874. First we will calculate the prime factors of 41854 and 41874.

Prime Factorization of 41854

Prime Factorization of 41874

Now multiplying the highest exponent prime factors to calculate the LCM of 41854 and 41874.

LCM(41854,41874) = 2¹ × 17¹ × 1231¹ × 3¹ × 7¹ × 997¹
LCM(41854,41874) = 876297198