What is the Least Common Multiple of 92196 and 92205?

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 92205 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 92205, than apply into the LCM equation.

GCF(92196,92205) = 9
LCM(92196,92205) = ( 92196 × 92205) / 9
LCM(92196,92205) = 8500932180 / 9
LCM(92196,92205) = 944548020

Least Common Multiple (LCM) of 92196 and 92205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92196 and 92205. First we will calculate the prime factors of 92196 and 92205.

Prime Factorization of 92196

Prime Factorization of 92205

Now multiplying the highest exponent prime factors to calculate the LCM of 92196 and 92205.

LCM(92196,92205) = 2² × 3³ × 13¹ × 197¹ × 5¹ × 683¹
LCM(92196,92205) = 944548020