What is the Least Common Multiple of 94320 and 94335?

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 94320 and 94335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94320 and 94335, than apply into the LCM equation.

GCF(94320,94335) = 15
LCM(94320,94335) = ( 94320 × 94335) / 15
LCM(94320,94335) = 8897677200 / 15
LCM(94320,94335) = 593178480

Least Common Multiple (LCM) of 94320 and 94335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94320 and 94335. First we will calculate the prime factors of 94320 and 94335.

Prime Factorization of 94320

Prime Factorization of 94335

Now multiplying the highest exponent prime factors to calculate the LCM of 94320 and 94335.

LCM(94320,94335) = 2⁴ × 3² × 5¹ × 131¹ × 19¹ × 331¹
LCM(94320,94335) = 593178480