What is the Least Common Multiple of 81874 and 81880?

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 81880 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 81880, than apply into the LCM equation.

GCF(81874,81880) = 2
LCM(81874,81880) = ( 81874 × 81880) / 2
LCM(81874,81880) = 6703843120 / 2
LCM(81874,81880) = 3351921560

Least Common Multiple (LCM) of 81874 and 81880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81874 and 81880. First we will calculate the prime factors of 81874 and 81880.

Prime Factorization of 81874

Prime Factorization of 81880

Now multiplying the highest exponent prime factors to calculate the LCM of 81874 and 81880.

LCM(81874,81880) = 2³ × 13¹ × 47¹ × 67¹ × 5¹ × 23¹ × 89¹
LCM(81874,81880) = 3351921560