What is the Least Common Multiple of 71838 and 71854?

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 71838 and 71854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71838 and 71854, than apply into the LCM equation.

GCF(71838,71854) = 2
LCM(71838,71854) = ( 71838 × 71854) / 2
LCM(71838,71854) = 5161847652 / 2
LCM(71838,71854) = 2580923826

Least Common Multiple (LCM) of 71838 and 71854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71838 and 71854. First we will calculate the prime factors of 71838 and 71854.

Prime Factorization of 71838

Prime Factorization of 71854

Now multiplying the highest exponent prime factors to calculate the LCM of 71838 and 71854.

LCM(71838,71854) = 2¹ × 3² × 13¹ × 307¹ × 37¹ × 971¹
LCM(71838,71854) = 2580923826