What is the Least Common Multiple of 25380 and 25390?

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 25390 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 25390, than apply into the LCM equation.

GCF(25380,25390) = 10
LCM(25380,25390) = ( 25380 × 25390) / 10
LCM(25380,25390) = 644398200 / 10
LCM(25380,25390) = 64439820

Least Common Multiple (LCM) of 25380 and 25390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25380 and 25390. First we will calculate the prime factors of 25380 and 25390.

Prime Factorization of 25380

Prime Factorization of 25390

Now multiplying the highest exponent prime factors to calculate the LCM of 25380 and 25390.

LCM(25380,25390) = 2² × 3³ × 5¹ × 47¹ × 2539¹
LCM(25380,25390) = 64439820