What is the Least Common Multiple of 68190 and 68205?

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 68190 and 68205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68190 and 68205, than apply into the LCM equation.

GCF(68190,68205) = 15
LCM(68190,68205) = ( 68190 × 68205) / 15
LCM(68190,68205) = 4650898950 / 15
LCM(68190,68205) = 310059930

Least Common Multiple (LCM) of 68190 and 68205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68190 and 68205. First we will calculate the prime factors of 68190 and 68205.

Prime Factorization of 68190

Prime Factorization of 68205

Now multiplying the highest exponent prime factors to calculate the LCM of 68190 and 68205.

LCM(68190,68205) = 2¹ × 3¹ × 5¹ × 2273¹ × 4547¹
LCM(68190,68205) = 310059930