What is the Least Common Multiple of 52084 and 52096?

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 52084 and 52096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52084 and 52096, than apply into the LCM equation.

GCF(52084,52096) = 4
LCM(52084,52096) = ( 52084 × 52096) / 4
LCM(52084,52096) = 2713368064 / 4
LCM(52084,52096) = 678342016

Least Common Multiple (LCM) of 52084 and 52096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52084 and 52096. First we will calculate the prime factors of 52084 and 52096.

Prime Factorization of 52084

Prime Factorization of 52096

Now multiplying the highest exponent prime factors to calculate the LCM of 52084 and 52096.

LCM(52084,52096) = 2⁷ × 29¹ × 449¹ × 11¹ × 37¹
LCM(52084,52096) = 678342016