What is the Least Common Multiple of 52048 and 52062?

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 52062 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 52062, than apply into the LCM equation.

GCF(52048,52062) = 2
LCM(52048,52062) = ( 52048 × 52062) / 2
LCM(52048,52062) = 2709722976 / 2
LCM(52048,52062) = 1354861488

Least Common Multiple (LCM) of 52048 and 52062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52048 and 52062. First we will calculate the prime factors of 52048 and 52062.

Prime Factorization of 52048

Prime Factorization of 52062

Now multiplying the highest exponent prime factors to calculate the LCM of 52048 and 52062.

LCM(52048,52062) = 2⁴ × 3253¹ × 3¹ × 8677¹
LCM(52048,52062) = 1354861488