GCF and LCM Calculator Logo

What is the Least Common Multiple of 54209 and 54221?

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 (LCM) of 54209 and 54221 is 2939266189.

LCM(54209,54221) = 2939266189

LCM Calculator and
and

Least Common Multiple of 54209 and 54221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54209 and 54221, than apply into the LCM equation.

GCF(54209,54221) = 1
LCM(54209,54221) = ( 54209 × 54221) / 1
LCM(54209,54221) = 2939266189 / 1
LCM(54209,54221) = 2939266189

Least Common Multiple (LCM) of 54209 and 54221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54209 and 54221. First we will calculate the prime factors of 54209 and 54221.

Prime Factorization of 54209

Prime factors of 54209 are 151, 359. Prime factorization of 54209 in exponential form is:

54209 = 1511 × 3591

Prime Factorization of 54221

Prime factors of 54221 are 59, 919. Prime factorization of 54221 in exponential form is:

54221 = 591 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 54209 and 54221.

LCM(54209,54221) = 1511 × 3591 × 591 × 9191
LCM(54209,54221) = 2939266189