What is the Least Common Multiple of 93330 and 93350?

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 93330 and 93350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93330 and 93350, than apply into the LCM equation.

GCF(93330,93350) = 10
LCM(93330,93350) = ( 93330 × 93350) / 10
LCM(93330,93350) = 8712355500 / 10
LCM(93330,93350) = 871235550

Least Common Multiple (LCM) of 93330 and 93350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93330 and 93350. First we will calculate the prime factors of 93330 and 93350.

Prime Factorization of 93330

Prime Factorization of 93350

Now multiplying the highest exponent prime factors to calculate the LCM of 93330 and 93350.

LCM(93330,93350) = 2¹ × 3² × 5² × 17¹ × 61¹ × 1867¹
LCM(93330,93350) = 871235550