What is the Least Common Multiple of 10455 and 10464?

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 10455 and 10464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10455 and 10464, than apply into the LCM equation.

GCF(10455,10464) = 3
LCM(10455,10464) = ( 10455 × 10464) / 3
LCM(10455,10464) = 109401120 / 3
LCM(10455,10464) = 36467040

Least Common Multiple (LCM) of 10455 and 10464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10455 and 10464. First we will calculate the prime factors of 10455 and 10464.

Prime Factorization of 10455

Prime Factorization of 10464

Now multiplying the highest exponent prime factors to calculate the LCM of 10455 and 10464.

LCM(10455,10464) = 3¹ × 5¹ × 17¹ × 41¹ × 2⁵ × 109¹
LCM(10455,10464) = 36467040