What is the Least Common Multiple of 68192 and 68200?

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 68192 and 68200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68192 and 68200, than apply into the LCM equation.

GCF(68192,68200) = 8
LCM(68192,68200) = ( 68192 × 68200) / 8
LCM(68192,68200) = 4650694400 / 8
LCM(68192,68200) = 581336800

Least Common Multiple (LCM) of 68192 and 68200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68192 and 68200. First we will calculate the prime factors of 68192 and 68200.

Prime Factorization of 68192

Prime Factorization of 68200

Now multiplying the highest exponent prime factors to calculate the LCM of 68192 and 68200.

LCM(68192,68200) = 2⁵ × 2131¹ × 5² × 11¹ × 31¹
LCM(68192,68200) = 581336800