What is the Least Common Multiple of 68835 and 68853?

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 68835 and 68853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68835 and 68853, than apply into the LCM equation.

GCF(68835,68853) = 3
LCM(68835,68853) = ( 68835 × 68853) / 3
LCM(68835,68853) = 4739496255 / 3
LCM(68835,68853) = 1579832085

Least Common Multiple (LCM) of 68835 and 68853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68835 and 68853. First we will calculate the prime factors of 68835 and 68853.

Prime Factorization of 68835

Prime Factorization of 68853

Now multiplying the highest exponent prime factors to calculate the LCM of 68835 and 68853.

LCM(68835,68853) = 3¹ × 5¹ × 13¹ × 353¹ × 59¹ × 389¹
LCM(68835,68853) = 1579832085