What is the Least Common Multiple of 68206 and 68224?

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 68206 and 68224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68206 and 68224, than apply into the LCM equation.

GCF(68206,68224) = 2
LCM(68206,68224) = ( 68206 × 68224) / 2
LCM(68206,68224) = 4653286144 / 2
LCM(68206,68224) = 2326643072

Least Common Multiple (LCM) of 68206 and 68224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68206 and 68224. First we will calculate the prime factors of 68206 and 68224.

Prime Factorization of 68206

Prime Factorization of 68224

Now multiplying the highest exponent prime factors to calculate the LCM of 68206 and 68224.

LCM(68206,68224) = 2⁷ × 67¹ × 509¹ × 13¹ × 41¹
LCM(68206,68224) = 2326643072