What is the Least Common Multiple of 68928 and 68935?

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 68928 and 68935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68928 and 68935, than apply into the LCM equation.

GCF(68928,68935) = 1
LCM(68928,68935) = ( 68928 × 68935) / 1
LCM(68928,68935) = 4751551680 / 1
LCM(68928,68935) = 4751551680

Least Common Multiple (LCM) of 68928 and 68935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68928 and 68935. First we will calculate the prime factors of 68928 and 68935.

Prime Factorization of 68928

Prime Factorization of 68935

Now multiplying the highest exponent prime factors to calculate the LCM of 68928 and 68935.

LCM(68928,68935) = 2⁶ × 3¹ × 359¹ × 5¹ × 17¹ × 811¹
LCM(68928,68935) = 4751551680