What is the Least Common Multiple of 67770 and 67784?

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 67770 and 67784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67770 and 67784, than apply into the LCM equation.

GCF(67770,67784) = 2
LCM(67770,67784) = ( 67770 × 67784) / 2
LCM(67770,67784) = 4593721680 / 2
LCM(67770,67784) = 2296860840

Least Common Multiple (LCM) of 67770 and 67784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67770 and 67784. First we will calculate the prime factors of 67770 and 67784.

Prime Factorization of 67770

Prime Factorization of 67784

Now multiplying the highest exponent prime factors to calculate the LCM of 67770 and 67784.

LCM(67770,67784) = 2³ × 3³ × 5¹ × 251¹ × 37¹ × 229¹
LCM(67770,67784) = 2296860840