What is the Least Common Multiple of 94335 and 94340?

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 94335 and 94340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94335 and 94340, than apply into the LCM equation.

GCF(94335,94340) = 5
LCM(94335,94340) = ( 94335 × 94340) / 5
LCM(94335,94340) = 8899563900 / 5
LCM(94335,94340) = 1779912780

Least Common Multiple (LCM) of 94335 and 94340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94335 and 94340. First we will calculate the prime factors of 94335 and 94340.

Prime Factorization of 94335

Prime Factorization of 94340

Now multiplying the highest exponent prime factors to calculate the LCM of 94335 and 94340.

LCM(94335,94340) = 3¹ × 5¹ × 19¹ × 331¹ × 2² × 53¹ × 89¹
LCM(94335,94340) = 1779912780