What is the Least Common Multiple of 68390 and 68409?

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 68390 and 68409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68390 and 68409, than apply into the LCM equation.

GCF(68390,68409) = 1
LCM(68390,68409) = ( 68390 × 68409) / 1
LCM(68390,68409) = 4678491510 / 1
LCM(68390,68409) = 4678491510

Least Common Multiple (LCM) of 68390 and 68409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68390 and 68409. First we will calculate the prime factors of 68390 and 68409.

Prime Factorization of 68390

Prime Factorization of 68409

Now multiplying the highest exponent prime factors to calculate the LCM of 68390 and 68409.

LCM(68390,68409) = 2¹ × 5¹ × 7¹ × 977¹ × 3² × 11¹ × 691¹
LCM(68390,68409) = 4678491510