What is the Least Common Multiple of 81874 and 81894?

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 81874 and 81894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81874 and 81894, than apply into the LCM equation.

GCF(81874,81894) = 2
LCM(81874,81894) = ( 81874 × 81894) / 2
LCM(81874,81894) = 6704989356 / 2
LCM(81874,81894) = 3352494678

Least Common Multiple (LCM) of 81874 and 81894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81874 and 81894. First we will calculate the prime factors of 81874 and 81894.

Prime Factorization of 81874

Prime Factorization of 81894

Now multiplying the highest exponent prime factors to calculate the LCM of 81874 and 81894.

LCM(81874,81894) = 2¹ × 13¹ × 47¹ × 67¹ × 3¹ × 13649¹
LCM(81874,81894) = 3352494678