What is the Least Common Multiple of 71770 and 71784?

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 71770 and 71784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71770 and 71784, than apply into the LCM equation.

GCF(71770,71784) = 2
LCM(71770,71784) = ( 71770 × 71784) / 2
LCM(71770,71784) = 5151937680 / 2
LCM(71770,71784) = 2575968840

Least Common Multiple (LCM) of 71770 and 71784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71770 and 71784. First we will calculate the prime factors of 71770 and 71784.

Prime Factorization of 71770

Prime Factorization of 71784

Now multiplying the highest exponent prime factors to calculate the LCM of 71770 and 71784.

LCM(71770,71784) = 2³ × 5¹ × 7177¹ × 3² × 997¹
LCM(71770,71784) = 2575968840