GCF and LCM Calculator Logo

What is the Least Common Multiple of 48309 and 48325?

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 (LCM) of 48309 and 48325 is 2334532425.

LCM(48309,48325) = 2334532425

LCM Calculator and
and

Least Common Multiple of 48309 and 48325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48309 and 48325, than apply into the LCM equation.

GCF(48309,48325) = 1
LCM(48309,48325) = ( 48309 × 48325) / 1
LCM(48309,48325) = 2334532425 / 1
LCM(48309,48325) = 2334532425

Least Common Multiple (LCM) of 48309 and 48325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48309 and 48325. First we will calculate the prime factors of 48309 and 48325.

Prime Factorization of 48309

Prime factors of 48309 are 3, 16103. Prime factorization of 48309 in exponential form is:

48309 = 31 × 161031

Prime Factorization of 48325

Prime factors of 48325 are 5, 1933. Prime factorization of 48325 in exponential form is:

48325 = 52 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 48309 and 48325.

LCM(48309,48325) = 31 × 161031 × 52 × 19331
LCM(48309,48325) = 2334532425