What is the Least Common Multiple of 68208 and 68220?

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 68208 and 68220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68208 and 68220, than apply into the LCM equation.

GCF(68208,68220) = 12
LCM(68208,68220) = ( 68208 × 68220) / 12
LCM(68208,68220) = 4653149760 / 12
LCM(68208,68220) = 387762480

Least Common Multiple (LCM) of 68208 and 68220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68208 and 68220. First we will calculate the prime factors of 68208 and 68220.

Prime Factorization of 68208

Prime Factorization of 68220

Now multiplying the highest exponent prime factors to calculate the LCM of 68208 and 68220.

LCM(68208,68220) = 2⁴ × 3² × 7² × 29¹ × 5¹ × 379¹
LCM(68208,68220) = 387762480