What is the Least Common Multiple of 52380 and 52400?

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 52380 and 52400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52380 and 52400, than apply into the LCM equation.

GCF(52380,52400) = 20
LCM(52380,52400) = ( 52380 × 52400) / 20
LCM(52380,52400) = 2744712000 / 20
LCM(52380,52400) = 137235600

Least Common Multiple (LCM) of 52380 and 52400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52380 and 52400. First we will calculate the prime factors of 52380 and 52400.

Prime Factorization of 52380

Prime Factorization of 52400

Now multiplying the highest exponent prime factors to calculate the LCM of 52380 and 52400.

LCM(52380,52400) = 2⁴ × 3³ × 5² × 97¹ × 131¹
LCM(52380,52400) = 137235600