What is the Least Common Multiple of 51345 and 51352?

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 51345 and 51352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51345 and 51352, than apply into the LCM equation.

GCF(51345,51352) = 7
LCM(51345,51352) = ( 51345 × 51352) / 7
LCM(51345,51352) = 2636668440 / 7
LCM(51345,51352) = 376666920

Least Common Multiple (LCM) of 51345 and 51352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51345 and 51352. First we will calculate the prime factors of 51345 and 51352.

Prime Factorization of 51345

Prime Factorization of 51352

Now multiplying the highest exponent prime factors to calculate the LCM of 51345 and 51352.

LCM(51345,51352) = 3² × 5¹ × 7² × 163¹ × 2³ × 131¹
LCM(51345,51352) = 376666920