What is the Least Common Multiple of 17465 and 17478?

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 17465 and 17478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17465 and 17478, than apply into the LCM equation.

GCF(17465,17478) = 1
LCM(17465,17478) = ( 17465 × 17478) / 1
LCM(17465,17478) = 305253270 / 1
LCM(17465,17478) = 305253270

Least Common Multiple (LCM) of 17465 and 17478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17465 and 17478. First we will calculate the prime factors of 17465 and 17478.

Prime Factorization of 17465

Prime Factorization of 17478

Now multiplying the highest exponent prime factors to calculate the LCM of 17465 and 17478.

LCM(17465,17478) = 5¹ × 7¹ × 499¹ × 2¹ × 3² × 971¹
LCM(17465,17478) = 305253270