What is the Least Common Multiple of 81674 and 81688?

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 81674 and 81688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81674 and 81688, than apply into the LCM equation.

GCF(81674,81688) = 2
LCM(81674,81688) = ( 81674 × 81688) / 2
LCM(81674,81688) = 6671785712 / 2
LCM(81674,81688) = 3335892856

Least Common Multiple (LCM) of 81674 and 81688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81674 and 81688. First we will calculate the prime factors of 81674 and 81688.

Prime Factorization of 81674

Prime Factorization of 81688

Now multiplying the highest exponent prime factors to calculate the LCM of 81674 and 81688.

LCM(81674,81688) = 2³ × 97¹ × 421¹ × 10211¹
LCM(81674,81688) = 3335892856