What is the Least Common Multiple of 4192 and 4205?

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 4192 and 4205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4192 and 4205, than apply into the LCM equation.

GCF(4192,4205) = 1
LCM(4192,4205) = ( 4192 × 4205) / 1
LCM(4192,4205) = 17627360 / 1
LCM(4192,4205) = 17627360

Least Common Multiple (LCM) of 4192 and 4205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4192 and 4205. First we will calculate the prime factors of 4192 and 4205.

Prime Factorization of 4192

Prime Factorization of 4205

Now multiplying the highest exponent prime factors to calculate the LCM of 4192 and 4205.

LCM(4192,4205) = 2⁵ × 131¹ × 5¹ × 29²
LCM(4192,4205) = 17627360