What is the Least Common Multiple of 51423 and 51438?

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 51423 and 51438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51423 and 51438, than apply into the LCM equation.

GCF(51423,51438) = 3
LCM(51423,51438) = ( 51423 × 51438) / 3
LCM(51423,51438) = 2645096274 / 3
LCM(51423,51438) = 881698758

Least Common Multiple (LCM) of 51423 and 51438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51423 and 51438. First we will calculate the prime factors of 51423 and 51438.

Prime Factorization of 51423

Prime Factorization of 51438

Now multiplying the highest exponent prime factors to calculate the LCM of 51423 and 51438.

LCM(51423,51438) = 3¹ × 61¹ × 281¹ × 2¹ × 8573¹
LCM(51423,51438) = 881698758