What is the Least Common Multiple of 16375 and 16394?

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 16375 and 16394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16375 and 16394, than apply into the LCM equation.

GCF(16375,16394) = 1
LCM(16375,16394) = ( 16375 × 16394) / 1
LCM(16375,16394) = 268451750 / 1
LCM(16375,16394) = 268451750

Least Common Multiple (LCM) of 16375 and 16394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16375 and 16394. First we will calculate the prime factors of 16375 and 16394.

Prime Factorization of 16375

Prime Factorization of 16394

Now multiplying the highest exponent prime factors to calculate the LCM of 16375 and 16394.

LCM(16375,16394) = 5³ × 131¹ × 2¹ × 7¹ × 1171¹
LCM(16375,16394) = 268451750