What is the Least Common Multiple of 93320 and 93335?

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 93320 and 93335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93320 and 93335, than apply into the LCM equation.

GCF(93320,93335) = 5
LCM(93320,93335) = ( 93320 × 93335) / 5
LCM(93320,93335) = 8710022200 / 5
LCM(93320,93335) = 1742004440

Least Common Multiple (LCM) of 93320 and 93335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93320 and 93335. First we will calculate the prime factors of 93320 and 93335.

Prime Factorization of 93320

Prime Factorization of 93335

Now multiplying the highest exponent prime factors to calculate the LCM of 93320 and 93335.

LCM(93320,93335) = 2³ × 5¹ × 2333¹ × 11¹ × 1697¹
LCM(93320,93335) = 1742004440