What is the Least Common Multiple of 28605 and 28624?

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 28605 and 28624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28605 and 28624, than apply into the LCM equation.

GCF(28605,28624) = 1
LCM(28605,28624) = ( 28605 × 28624) / 1
LCM(28605,28624) = 818789520 / 1
LCM(28605,28624) = 818789520

Least Common Multiple (LCM) of 28605 and 28624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28605 and 28624. First we will calculate the prime factors of 28605 and 28624.

Prime Factorization of 28605

Prime Factorization of 28624

Now multiplying the highest exponent prime factors to calculate the LCM of 28605 and 28624.

LCM(28605,28624) = 3¹ × 5¹ × 1907¹ × 2⁴ × 1789¹
LCM(28605,28624) = 818789520