What is the Least Common Multiple of 10465 and 10484?

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 10484 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 10484, than apply into the LCM equation.

GCF(10465,10484) = 1
LCM(10465,10484) = ( 10465 × 10484) / 1
LCM(10465,10484) = 109715060 / 1
LCM(10465,10484) = 109715060

Least Common Multiple (LCM) of 10465 and 10484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10465 and 10484. First we will calculate the prime factors of 10465 and 10484.

Prime Factorization of 10465

Prime Factorization of 10484

Now multiplying the highest exponent prime factors to calculate the LCM of 10465 and 10484.

LCM(10465,10484) = 5¹ × 7¹ × 13¹ × 23¹ × 2² × 2621¹
LCM(10465,10484) = 109715060