What is the Least Common Multiple of 10480 and 10485?

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 10480 and 10485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10480 and 10485, than apply into the LCM equation.

GCF(10480,10485) = 5
LCM(10480,10485) = ( 10480 × 10485) / 5
LCM(10480,10485) = 109882800 / 5
LCM(10480,10485) = 21976560

Least Common Multiple (LCM) of 10480 and 10485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10480 and 10485. First we will calculate the prime factors of 10480 and 10485.

Prime Factorization of 10480

Prime Factorization of 10485

Now multiplying the highest exponent prime factors to calculate the LCM of 10480 and 10485.

LCM(10480,10485) = 2⁴ × 5¹ × 131¹ × 3² × 233¹
LCM(10480,10485) = 21976560