What is the Least Common Multiple of 68814 and 68832?

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 68814 and 68832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68814 and 68832, than apply into the LCM equation.

GCF(68814,68832) = 18
LCM(68814,68832) = ( 68814 × 68832) / 18
LCM(68814,68832) = 4736605248 / 18
LCM(68814,68832) = 263144736

Least Common Multiple (LCM) of 68814 and 68832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68814 and 68832. First we will calculate the prime factors of 68814 and 68832.

Prime Factorization of 68814

Prime Factorization of 68832

Now multiplying the highest exponent prime factors to calculate the LCM of 68814 and 68832.

LCM(68814,68832) = 2⁵ × 3² × 3823¹ × 239¹
LCM(68814,68832) = 263144736