What is the Least Common Multiple of 81770 and 81784?

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 81770 and 81784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81770 and 81784, than apply into the LCM equation.

GCF(81770,81784) = 2
LCM(81770,81784) = ( 81770 × 81784) / 2
LCM(81770,81784) = 6687477680 / 2
LCM(81770,81784) = 3343738840

Least Common Multiple (LCM) of 81770 and 81784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81770 and 81784. First we will calculate the prime factors of 81770 and 81784.

Prime Factorization of 81770

Prime Factorization of 81784

Now multiplying the highest exponent prime factors to calculate the LCM of 81770 and 81784.

LCM(81770,81784) = 2³ × 5¹ × 13¹ × 17¹ × 37¹ × 10223¹
LCM(81770,81784) = 3343738840