What is the Least Common Multiple of 68340 and 68350?

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 68340 and 68350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68340 and 68350, than apply into the LCM equation.

GCF(68340,68350) = 10
LCM(68340,68350) = ( 68340 × 68350) / 10
LCM(68340,68350) = 4671039000 / 10
LCM(68340,68350) = 467103900

Least Common Multiple (LCM) of 68340 and 68350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68340 and 68350. First we will calculate the prime factors of 68340 and 68350.

Prime Factorization of 68340

Prime Factorization of 68350

Now multiplying the highest exponent prime factors to calculate the LCM of 68340 and 68350.

LCM(68340,68350) = 2² × 3¹ × 5² × 17¹ × 67¹ × 1367¹
LCM(68340,68350) = 467103900