What is the Least Common Multiple of 52446 and 52452?

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 52446 and 52452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52446 and 52452, than apply into the LCM equation.

GCF(52446,52452) = 6
LCM(52446,52452) = ( 52446 × 52452) / 6
LCM(52446,52452) = 2750897592 / 6
LCM(52446,52452) = 458482932

Least Common Multiple (LCM) of 52446 and 52452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52446 and 52452. First we will calculate the prime factors of 52446 and 52452.

Prime Factorization of 52446

Prime Factorization of 52452

Now multiplying the highest exponent prime factors to calculate the LCM of 52446 and 52452.

LCM(52446,52452) = 2² × 3² × 8741¹ × 31¹ × 47¹
LCM(52446,52452) = 458482932