What is the Least Common Multiple of 52400 and 52405?

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 52400 and 52405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52400 and 52405, than apply into the LCM equation.

GCF(52400,52405) = 5
LCM(52400,52405) = ( 52400 × 52405) / 5
LCM(52400,52405) = 2746022000 / 5
LCM(52400,52405) = 549204400

Least Common Multiple (LCM) of 52400 and 52405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52400 and 52405. First we will calculate the prime factors of 52400 and 52405.

Prime Factorization of 52400

Prime Factorization of 52405

Now multiplying the highest exponent prime factors to calculate the LCM of 52400 and 52405.

LCM(52400,52405) = 2⁴ × 5² × 131¹ × 47¹ × 223¹
LCM(52400,52405) = 549204400