What is the Least Common Multiple of 10479 and 10488?

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 10479 and 10488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10479 and 10488, than apply into the LCM equation.

GCF(10479,10488) = 3
LCM(10479,10488) = ( 10479 × 10488) / 3
LCM(10479,10488) = 109903752 / 3
LCM(10479,10488) = 36634584

Least Common Multiple (LCM) of 10479 and 10488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10479 and 10488. First we will calculate the prime factors of 10479 and 10488.

Prime Factorization of 10479

Prime Factorization of 10488

Now multiplying the highest exponent prime factors to calculate the LCM of 10479 and 10488.

LCM(10479,10488) = 3¹ × 7¹ × 499¹ × 2³ × 19¹ × 23¹
LCM(10479,10488) = 36634584