What is the Least Common Multiple of 9608 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 9608 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 9608 and 9625, than apply into the LCM equation.

GCF(9608,9625) = 1
LCM(9608,9625) = ( 9608 × 9625) / 1
LCM(9608,9625) = 92477000 / 1
LCM(9608,9625) = 92477000

Least Common Multiple (LCM) of 9608 and 9625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9625. First we will calculate the prime factors of 9608 and 9625.

Prime Factorization of 9608

Prime Factorization of 9625

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9625.

LCM(9608,9625) = 2³ × 1201¹ × 5³ × 7¹ × 11¹
LCM(9608,9625) = 92477000