What is the Least Common Multiple of 52048 and 52052?

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 52048 and 52052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52048 and 52052, than apply into the LCM equation.

GCF(52048,52052) = 4
LCM(52048,52052) = ( 52048 × 52052) / 4
LCM(52048,52052) = 2709202496 / 4
LCM(52048,52052) = 677300624

Least Common Multiple (LCM) of 52048 and 52052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52048 and 52052. First we will calculate the prime factors of 52048 and 52052.

Prime Factorization of 52048

Prime Factorization of 52052

Now multiplying the highest exponent prime factors to calculate the LCM of 52048 and 52052.

LCM(52048,52052) = 2⁴ × 3253¹ × 7¹ × 11¹ × 13²
LCM(52048,52052) = 677300624