What is the Least Common Multiple of 52029 and 52048?

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 52029 and 52048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52029 and 52048, than apply into the LCM equation.

GCF(52029,52048) = 1
LCM(52029,52048) = ( 52029 × 52048) / 1
LCM(52029,52048) = 2708005392 / 1
LCM(52029,52048) = 2708005392

Least Common Multiple (LCM) of 52029 and 52048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52029 and 52048. First we will calculate the prime factors of 52029 and 52048.

Prime Factorization of 52029

Prime Factorization of 52048

Now multiplying the highest exponent prime factors to calculate the LCM of 52029 and 52048.

LCM(52029,52048) = 3³ × 41¹ × 47¹ × 2⁴ × 3253¹
LCM(52029,52048) = 2708005392