What is the Least Common Multiple of 8140 and 8154?

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 8140 and 8154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8140 and 8154, than apply into the LCM equation.

GCF(8140,8154) = 2
LCM(8140,8154) = ( 8140 × 8154) / 2
LCM(8140,8154) = 66373560 / 2
LCM(8140,8154) = 33186780

Least Common Multiple (LCM) of 8140 and 8154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8140 and 8154. First we will calculate the prime factors of 8140 and 8154.

Prime Factorization of 8140

Prime Factorization of 8154

Now multiplying the highest exponent prime factors to calculate the LCM of 8140 and 8154.

LCM(8140,8154) = 2² × 5¹ × 11¹ × 37¹ × 3³ × 151¹
LCM(8140,8154) = 33186780