What is the Least Common Multiple of 15450 and 15470?

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 15450 and 15470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15450 and 15470, than apply into the LCM equation.

GCF(15450,15470) = 10
LCM(15450,15470) = ( 15450 × 15470) / 10
LCM(15450,15470) = 239011500 / 10
LCM(15450,15470) = 23901150

Least Common Multiple (LCM) of 15450 and 15470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15450 and 15470. First we will calculate the prime factors of 15450 and 15470.

Prime Factorization of 15450

Prime Factorization of 15470

Now multiplying the highest exponent prime factors to calculate the LCM of 15450 and 15470.

LCM(15450,15470) = 2¹ × 3¹ × 5² × 103¹ × 7¹ × 13¹ × 17¹
LCM(15450,15470) = 23901150