What is the Least Common Multiple of 9620 and 9625?

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 9620 and 9625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9620 and 9625, than apply into the LCM equation.

GCF(9620,9625) = 5
LCM(9620,9625) = ( 9620 × 9625) / 5
LCM(9620,9625) = 92592500 / 5
LCM(9620,9625) = 18518500

Least Common Multiple (LCM) of 9620 and 9625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9620 and 9625. First we will calculate the prime factors of 9620 and 9625.

Prime Factorization of 9620

Prime Factorization of 9625

Now multiplying the highest exponent prime factors to calculate the LCM of 9620 and 9625.

LCM(9620,9625) = 2² × 5³ × 13¹ × 37¹ × 7¹ × 11¹
LCM(9620,9625) = 18518500