What is the Least Common Multiple of 67724 and 67738?

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 67724 and 67738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67724 and 67738, than apply into the LCM equation.

GCF(67724,67738) = 2
LCM(67724,67738) = ( 67724 × 67738) / 2
LCM(67724,67738) = 4587488312 / 2
LCM(67724,67738) = 2293744156

Least Common Multiple (LCM) of 67724 and 67738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67724 and 67738. First we will calculate the prime factors of 67724 and 67738.

Prime Factorization of 67724

Prime Factorization of 67738

Now multiplying the highest exponent prime factors to calculate the LCM of 67724 and 67738.

LCM(67724,67738) = 2² × 16931¹ × 11¹ × 3079¹
LCM(67724,67738) = 2293744156