What is the Least Common Multiple of 93360 and 93367?

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 93367 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 93367, than apply into the LCM equation.

GCF(93360,93367) = 1
LCM(93360,93367) = ( 93360 × 93367) / 1
LCM(93360,93367) = 8716743120 / 1
LCM(93360,93367) = 8716743120

Least Common Multiple (LCM) of 93360 and 93367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93360 and 93367. First we will calculate the prime factors of 93360 and 93367.

Prime Factorization of 93360

Prime Factorization of 93367

Now multiplying the highest exponent prime factors to calculate the LCM of 93360 and 93367.

LCM(93360,93367) = 2⁴ × 3¹ × 5¹ × 389¹ × 73¹ × 1279¹
LCM(93360,93367) = 8716743120