What is the Least Common Multiple of 11478 and 11490?

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 11478 and 11490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11478 and 11490, than apply into the LCM equation.

GCF(11478,11490) = 6
LCM(11478,11490) = ( 11478 × 11490) / 6
LCM(11478,11490) = 131882220 / 6
LCM(11478,11490) = 21980370

Least Common Multiple (LCM) of 11478 and 11490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11478 and 11490. First we will calculate the prime factors of 11478 and 11490.

Prime Factorization of 11478

Prime Factorization of 11490

Now multiplying the highest exponent prime factors to calculate the LCM of 11478 and 11490.

LCM(11478,11490) = 2¹ × 3¹ × 1913¹ × 5¹ × 383¹
LCM(11478,11490) = 21980370