What is the Least Common Multiple of 68170 and 68188?

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 68170 and 68188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68170 and 68188, than apply into the LCM equation.

GCF(68170,68188) = 2
LCM(68170,68188) = ( 68170 × 68188) / 2
LCM(68170,68188) = 4648375960 / 2
LCM(68170,68188) = 2324187980

Least Common Multiple (LCM) of 68170 and 68188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68170 and 68188. First we will calculate the prime factors of 68170 and 68188.

Prime Factorization of 68170

Prime Factorization of 68188

Now multiplying the highest exponent prime factors to calculate the LCM of 68170 and 68188.

LCM(68170,68188) = 2² × 5¹ × 17¹ × 401¹ × 17047¹
LCM(68170,68188) = 2324187980