What is the Least Common Multiple of 21378 and 21393?

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 21378 and 21393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21378 and 21393, than apply into the LCM equation.

GCF(21378,21393) = 3
LCM(21378,21393) = ( 21378 × 21393) / 3
LCM(21378,21393) = 457339554 / 3
LCM(21378,21393) = 152446518

Least Common Multiple (LCM) of 21378 and 21393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21378 and 21393. First we will calculate the prime factors of 21378 and 21393.

Prime Factorization of 21378

Prime Factorization of 21393

Now multiplying the highest exponent prime factors to calculate the LCM of 21378 and 21393.

LCM(21378,21393) = 2¹ × 3² × 7¹ × 509¹ × 2377¹
LCM(21378,21393) = 152446518