What is the Least Common Multiple of 15610 and 15625?

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 15610 and 15625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15610 and 15625, than apply into the LCM equation.

GCF(15610,15625) = 5
LCM(15610,15625) = ( 15610 × 15625) / 5
LCM(15610,15625) = 243906250 / 5
LCM(15610,15625) = 48781250

Least Common Multiple (LCM) of 15610 and 15625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15610 and 15625. First we will calculate the prime factors of 15610 and 15625.

Prime Factorization of 15610

Prime Factorization of 15625

Now multiplying the highest exponent prime factors to calculate the LCM of 15610 and 15625.

LCM(15610,15625) = 2¹ × 5⁶ × 7¹ × 223¹
LCM(15610,15625) = 48781250