What is the Least Common Multiple of 51534 and 51543?

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 51534 and 51543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51534 and 51543, than apply into the LCM equation.

GCF(51534,51543) = 9
LCM(51534,51543) = ( 51534 × 51543) / 9
LCM(51534,51543) = 2656216962 / 9
LCM(51534,51543) = 295135218

Least Common Multiple (LCM) of 51534 and 51543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51534 and 51543. First we will calculate the prime factors of 51534 and 51543.

Prime Factorization of 51534

Prime Factorization of 51543

Now multiplying the highest exponent prime factors to calculate the LCM of 51534 and 51543.

LCM(51534,51543) = 2¹ × 3³ × 7¹ × 409¹ × 23¹ × 83¹
LCM(51534,51543) = 295135218