What is the Least Common Multiple of 21800 and 21807?

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 21800 and 21807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21800 and 21807, than apply into the LCM equation.

GCF(21800,21807) = 1
LCM(21800,21807) = ( 21800 × 21807) / 1
LCM(21800,21807) = 475392600 / 1
LCM(21800,21807) = 475392600

Least Common Multiple (LCM) of 21800 and 21807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21800 and 21807. First we will calculate the prime factors of 21800 and 21807.

Prime Factorization of 21800

Prime Factorization of 21807

Now multiplying the highest exponent prime factors to calculate the LCM of 21800 and 21807.

LCM(21800,21807) = 2³ × 5² × 109¹ × 3² × 2423¹
LCM(21800,21807) = 475392600