What is the Least Common Multiple of 15408 and 15425?

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 15408 and 15425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15408 and 15425, than apply into the LCM equation.

GCF(15408,15425) = 1
LCM(15408,15425) = ( 15408 × 15425) / 1
LCM(15408,15425) = 237668400 / 1
LCM(15408,15425) = 237668400

Least Common Multiple (LCM) of 15408 and 15425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15408 and 15425. First we will calculate the prime factors of 15408 and 15425.

Prime Factorization of 15408

Prime Factorization of 15425

Now multiplying the highest exponent prime factors to calculate the LCM of 15408 and 15425.

LCM(15408,15425) = 2⁴ × 3² × 107¹ × 5² × 617¹
LCM(15408,15425) = 237668400