What is the Least Common Multiple of 67164 and 67178?

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 67164 and 67178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67164 and 67178, than apply into the LCM equation.

GCF(67164,67178) = 2
LCM(67164,67178) = ( 67164 × 67178) / 2
LCM(67164,67178) = 4511943192 / 2
LCM(67164,67178) = 2255971596

Least Common Multiple (LCM) of 67164 and 67178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67164 and 67178. First we will calculate the prime factors of 67164 and 67178.

Prime Factorization of 67164

Prime Factorization of 67178

Now multiplying the highest exponent prime factors to calculate the LCM of 67164 and 67178.

LCM(67164,67178) = 2² × 3¹ × 29¹ × 193¹ × 33589¹
LCM(67164,67178) = 2255971596