What is the Least Common Multiple of 54189 and 54209?

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 54189 and 54209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54189 and 54209, than apply into the LCM equation.

GCF(54189,54209) = 1
LCM(54189,54209) = ( 54189 × 54209) / 1
LCM(54189,54209) = 2937531501 / 1
LCM(54189,54209) = 2937531501

Least Common Multiple (LCM) of 54189 and 54209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54189 and 54209. First we will calculate the prime factors of 54189 and 54209.

Prime Factorization of 54189

Prime Factorization of 54209

Now multiplying the highest exponent prime factors to calculate the LCM of 54189 and 54209.

LCM(54189,54209) = 3⁵ × 223¹ × 151¹ × 359¹
LCM(54189,54209) = 2937531501