What is the Least Common Multiple of 68586 and 68604?

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 68586 and 68604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68586 and 68604, than apply into the LCM equation.

GCF(68586,68604) = 6
LCM(68586,68604) = ( 68586 × 68604) / 6
LCM(68586,68604) = 4705273944 / 6
LCM(68586,68604) = 784212324

Least Common Multiple (LCM) of 68586 and 68604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68586 and 68604. First we will calculate the prime factors of 68586 and 68604.

Prime Factorization of 68586

Prime Factorization of 68604

Now multiplying the highest exponent prime factors to calculate the LCM of 68586 and 68604.

LCM(68586,68604) = 2² × 3¹ × 7¹ × 23¹ × 71¹ × 5717¹
LCM(68586,68604) = 784212324