What is the Least Common Multiple of 19465 and 19482?

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 19465 and 19482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19465 and 19482, than apply into the LCM equation.

GCF(19465,19482) = 17
LCM(19465,19482) = ( 19465 × 19482) / 17
LCM(19465,19482) = 379217130 / 17
LCM(19465,19482) = 22306890

Least Common Multiple (LCM) of 19465 and 19482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19465 and 19482. First we will calculate the prime factors of 19465 and 19482.

Prime Factorization of 19465

Prime Factorization of 19482

Now multiplying the highest exponent prime factors to calculate the LCM of 19465 and 19482.

LCM(19465,19482) = 5¹ × 17¹ × 229¹ × 2¹ × 3¹ × 191¹
LCM(19465,19482) = 22306890