What is the Least Common Multiple of 83160 and 83178?

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 83160 and 83178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83160 and 83178, than apply into the LCM equation.

GCF(83160,83178) = 18
LCM(83160,83178) = ( 83160 × 83178) / 18
LCM(83160,83178) = 6917082480 / 18
LCM(83160,83178) = 384282360

Least Common Multiple (LCM) of 83160 and 83178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83160 and 83178. First we will calculate the prime factors of 83160 and 83178.

Prime Factorization of 83160

Prime Factorization of 83178

Now multiplying the highest exponent prime factors to calculate the LCM of 83160 and 83178.

LCM(83160,83178) = 2³ × 3³ × 5¹ × 7¹ × 11¹ × 4621¹
LCM(83160,83178) = 384282360