What is the Least Common Multiple of 10465 and 10478?

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 10465 and 10478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10465 and 10478, than apply into the LCM equation.

GCF(10465,10478) = 13
LCM(10465,10478) = ( 10465 × 10478) / 13
LCM(10465,10478) = 109652270 / 13
LCM(10465,10478) = 8434790

Least Common Multiple (LCM) of 10465 and 10478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10465 and 10478. First we will calculate the prime factors of 10465 and 10478.

Prime Factorization of 10465

Prime Factorization of 10478

Now multiplying the highest exponent prime factors to calculate the LCM of 10465 and 10478.

LCM(10465,10478) = 5¹ × 7¹ × 13² × 23¹ × 2¹ × 31¹
LCM(10465,10478) = 8434790