What is the Least Common Multiple of 42189 and 42200?

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 42189 and 42200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42189 and 42200, than apply into the LCM equation.

GCF(42189,42200) = 1
LCM(42189,42200) = ( 42189 × 42200) / 1
LCM(42189,42200) = 1780375800 / 1
LCM(42189,42200) = 1780375800

Least Common Multiple (LCM) of 42189 and 42200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42189 and 42200. First we will calculate the prime factors of 42189 and 42200.

Prime Factorization of 42189

Prime Factorization of 42200

Now multiplying the highest exponent prime factors to calculate the LCM of 42189 and 42200.

LCM(42189,42200) = 3¹ × 7³ × 41¹ × 2³ × 5² × 211¹
LCM(42189,42200) = 1780375800