What is the Least Common Multiple of 10440 and 10460?

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 10440 and 10460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10440 and 10460, than apply into the LCM equation.

GCF(10440,10460) = 20
LCM(10440,10460) = ( 10440 × 10460) / 20
LCM(10440,10460) = 109202400 / 20
LCM(10440,10460) = 5460120

Least Common Multiple (LCM) of 10440 and 10460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10440 and 10460. First we will calculate the prime factors of 10440 and 10460.

Prime Factorization of 10440

Prime Factorization of 10460

Now multiplying the highest exponent prime factors to calculate the LCM of 10440 and 10460.

LCM(10440,10460) = 2³ × 3² × 5¹ × 29¹ × 523¹
LCM(10440,10460) = 5460120