What is the Least Common Multiple of 51342 and 51354?

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 51342 and 51354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51342 and 51354, than apply into the LCM equation.

GCF(51342,51354) = 6
LCM(51342,51354) = ( 51342 × 51354) / 6
LCM(51342,51354) = 2636617068 / 6
LCM(51342,51354) = 439436178

Least Common Multiple (LCM) of 51342 and 51354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51342 and 51354. First we will calculate the prime factors of 51342 and 51354.

Prime Factorization of 51342

Prime Factorization of 51354

Now multiplying the highest exponent prime factors to calculate the LCM of 51342 and 51354.

LCM(51342,51354) = 2¹ × 3⁴ × 43¹ × 199¹ × 317¹
LCM(51342,51354) = 439436178