What is the Least Common Multiple of 52338 and 52350?

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 52338 and 52350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52338 and 52350, than apply into the LCM equation.

GCF(52338,52350) = 6
LCM(52338,52350) = ( 52338 × 52350) / 6
LCM(52338,52350) = 2739894300 / 6
LCM(52338,52350) = 456649050

Least Common Multiple (LCM) of 52338 and 52350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52338 and 52350. First we will calculate the prime factors of 52338 and 52350.

Prime Factorization of 52338

Prime Factorization of 52350

Now multiplying the highest exponent prime factors to calculate the LCM of 52338 and 52350.

LCM(52338,52350) = 2¹ × 3¹ × 11¹ × 13¹ × 61¹ × 5² × 349¹
LCM(52338,52350) = 456649050