What is the Least Common Multiple of 52072 and 52084?

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 52072 and 52084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52072 and 52084, than apply into the LCM equation.

GCF(52072,52084) = 4
LCM(52072,52084) = ( 52072 × 52084) / 4
LCM(52072,52084) = 2712118048 / 4
LCM(52072,52084) = 678029512

Least Common Multiple (LCM) of 52072 and 52084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52072 and 52084. First we will calculate the prime factors of 52072 and 52084.

Prime Factorization of 52072

Prime Factorization of 52084

Now multiplying the highest exponent prime factors to calculate the LCM of 52072 and 52084.

LCM(52072,52084) = 2³ × 23¹ × 283¹ × 29¹ × 449¹
LCM(52072,52084) = 678029512