What is the Least Common Multiple of 67806 and 67823?

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 67806 and 67823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67806 and 67823, than apply into the LCM equation.

GCF(67806,67823) = 1
LCM(67806,67823) = ( 67806 × 67823) / 1
LCM(67806,67823) = 4598806338 / 1
LCM(67806,67823) = 4598806338

Least Common Multiple (LCM) of 67806 and 67823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67806 and 67823. First we will calculate the prime factors of 67806 and 67823.

Prime Factorization of 67806

Prime Factorization of 67823

Now multiplying the highest exponent prime factors to calculate the LCM of 67806 and 67823.

LCM(67806,67823) = 2¹ × 3² × 3767¹ × 7¹ × 9689¹
LCM(67806,67823) = 4598806338