What is the Least Common Multiple of 10464 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 10464 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 10464 and 10484, than apply into the LCM equation.

GCF(10464,10484) = 4
LCM(10464,10484) = ( 10464 × 10484) / 4
LCM(10464,10484) = 109704576 / 4
LCM(10464,10484) = 27426144

Least Common Multiple (LCM) of 10464 and 10484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10464 and 10484. First we will calculate the prime factors of 10464 and 10484.

Prime Factorization of 10464

Prime Factorization of 10484

Now multiplying the highest exponent prime factors to calculate the LCM of 10464 and 10484.

LCM(10464,10484) = 2⁵ × 3¹ × 109¹ × 2621¹
LCM(10464,10484) = 27426144