What is the Least Common Multiple of 92196 and 92209?

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 92196 and 92209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92196 and 92209, than apply into the LCM equation.

GCF(92196,92209) = 13
LCM(92196,92209) = ( 92196 × 92209) / 13
LCM(92196,92209) = 8501300964 / 13
LCM(92196,92209) = 653946228

Least Common Multiple (LCM) of 92196 and 92209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92196 and 92209. First we will calculate the prime factors of 92196 and 92209.

Prime Factorization of 92196

Prime Factorization of 92209

Now multiplying the highest exponent prime factors to calculate the LCM of 92196 and 92209.

LCM(92196,92209) = 2² × 3² × 13¹ × 197¹ × 41¹ × 173¹
LCM(92196,92209) = 653946228