What is the Least Common Multiple of 68585 and 68596?

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 68585 and 68596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68585 and 68596, than apply into the LCM equation.

GCF(68585,68596) = 11
LCM(68585,68596) = ( 68585 × 68596) / 11
LCM(68585,68596) = 4704656660 / 11
LCM(68585,68596) = 427696060

Least Common Multiple (LCM) of 68585 and 68596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68585 and 68596. First we will calculate the prime factors of 68585 and 68596.

Prime Factorization of 68585

Prime Factorization of 68596

Now multiplying the highest exponent prime factors to calculate the LCM of 68585 and 68596.

LCM(68585,68596) = 5¹ × 11¹ × 29¹ × 43¹ × 2² × 1559¹
LCM(68585,68596) = 427696060