What is the Least Common Multiple of 25380 and 25400?

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 25380 and 25400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25380 and 25400, than apply into the LCM equation.

GCF(25380,25400) = 20
LCM(25380,25400) = ( 25380 × 25400) / 20
LCM(25380,25400) = 644652000 / 20
LCM(25380,25400) = 32232600

Least Common Multiple (LCM) of 25380 and 25400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25380 and 25400. First we will calculate the prime factors of 25380 and 25400.

Prime Factorization of 25380

Prime Factorization of 25400

Now multiplying the highest exponent prime factors to calculate the LCM of 25380 and 25400.

LCM(25380,25400) = 2³ × 3³ × 5² × 47¹ × 127¹
LCM(25380,25400) = 32232600