What is the Least Common Multiple of 68352 and 68370?

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 68370 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 68370, than apply into the LCM equation.

GCF(68352,68370) = 6
LCM(68352,68370) = ( 68352 × 68370) / 6
LCM(68352,68370) = 4673226240 / 6
LCM(68352,68370) = 778871040

Least Common Multiple (LCM) of 68352 and 68370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68352 and 68370. First we will calculate the prime factors of 68352 and 68370.

Prime Factorization of 68352

Prime Factorization of 68370

Now multiplying the highest exponent prime factors to calculate the LCM of 68352 and 68370.

LCM(68352,68370) = 2⁸ × 3¹ × 89¹ × 5¹ × 43¹ × 53¹
LCM(68352,68370) = 778871040