What is the Least Common Multiple of 28874 and 28885?

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 28874 and 28885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28874 and 28885, than apply into the LCM equation.

GCF(28874,28885) = 1
LCM(28874,28885) = ( 28874 × 28885) / 1
LCM(28874,28885) = 834025490 / 1
LCM(28874,28885) = 834025490

Least Common Multiple (LCM) of 28874 and 28885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28874 and 28885. First we will calculate the prime factors of 28874 and 28885.

Prime Factorization of 28874

Prime Factorization of 28885

Now multiplying the highest exponent prime factors to calculate the LCM of 28874 and 28885.

LCM(28874,28885) = 2¹ × 14437¹ × 5¹ × 53¹ × 109¹
LCM(28874,28885) = 834025490