What is the Least Common Multiple of 51332 and 51342?

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 51332 and 51342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51332 and 51342, than apply into the LCM equation.

GCF(51332,51342) = 2
LCM(51332,51342) = ( 51332 × 51342) / 2
LCM(51332,51342) = 2635487544 / 2
LCM(51332,51342) = 1317743772

Least Common Multiple (LCM) of 51332 and 51342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51332 and 51342. First we will calculate the prime factors of 51332 and 51342.

Prime Factorization of 51332

Prime Factorization of 51342

Now multiplying the highest exponent prime factors to calculate the LCM of 51332 and 51342.

LCM(51332,51342) = 2² × 41¹ × 313¹ × 3¹ × 43¹ × 199¹
LCM(51332,51342) = 1317743772