What is the Least Common Multiple of 68352 and 68360?

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 68352 and 68360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68352 and 68360, than apply into the LCM equation.

GCF(68352,68360) = 8
LCM(68352,68360) = ( 68352 × 68360) / 8
LCM(68352,68360) = 4672542720 / 8
LCM(68352,68360) = 584067840

Least Common Multiple (LCM) of 68352 and 68360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68352 and 68360. First we will calculate the prime factors of 68352 and 68360.

Prime Factorization of 68352

Prime Factorization of 68360

Now multiplying the highest exponent prime factors to calculate the LCM of 68352 and 68360.

LCM(68352,68360) = 2⁸ × 3¹ × 89¹ × 5¹ × 1709¹
LCM(68352,68360) = 584067840