What is the Least Common Multiple of 93360 and 93365?

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 93360 and 93365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93360 and 93365, than apply into the LCM equation.

GCF(93360,93365) = 5
LCM(93360,93365) = ( 93360 × 93365) / 5
LCM(93360,93365) = 8716556400 / 5
LCM(93360,93365) = 1743311280

Least Common Multiple (LCM) of 93360 and 93365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93360 and 93365. First we will calculate the prime factors of 93360 and 93365.

Prime Factorization of 93360

Prime Factorization of 93365

Now multiplying the highest exponent prime factors to calculate the LCM of 93360 and 93365.

LCM(93360,93365) = 2⁴ × 3¹ × 5¹ × 389¹ × 71¹ × 263¹
LCM(93360,93365) = 1743311280