What is the Least Common Multiple of 28460 and 28478?

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 28460 and 28478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28460 and 28478, than apply into the LCM equation.

GCF(28460,28478) = 2
LCM(28460,28478) = ( 28460 × 28478) / 2
LCM(28460,28478) = 810483880 / 2
LCM(28460,28478) = 405241940

Least Common Multiple (LCM) of 28460 and 28478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28460 and 28478. First we will calculate the prime factors of 28460 and 28478.

Prime Factorization of 28460

Prime Factorization of 28478

Now multiplying the highest exponent prime factors to calculate the LCM of 28460 and 28478.

LCM(28460,28478) = 2² × 5¹ × 1423¹ × 29¹ × 491¹
LCM(28460,28478) = 405241940