What is the Least Common Multiple of 11462 and 11478?

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 11462 and 11478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11462 and 11478, than apply into the LCM equation.

GCF(11462,11478) = 2
LCM(11462,11478) = ( 11462 × 11478) / 2
LCM(11462,11478) = 131560836 / 2
LCM(11462,11478) = 65780418

Least Common Multiple (LCM) of 11462 and 11478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11462 and 11478. First we will calculate the prime factors of 11462 and 11478.

Prime Factorization of 11462

Prime Factorization of 11478

Now multiplying the highest exponent prime factors to calculate the LCM of 11462 and 11478.

LCM(11462,11478) = 2¹ × 11¹ × 521¹ × 3¹ × 1913¹
LCM(11462,11478) = 65780418