What is the Least Common Multiple of 54189 and 54202?

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 54202 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 54202, than apply into the LCM equation.

GCF(54189,54202) = 1
LCM(54189,54202) = ( 54189 × 54202) / 1
LCM(54189,54202) = 2937152178 / 1
LCM(54189,54202) = 2937152178

Least Common Multiple (LCM) of 54189 and 54202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54189 and 54202. First we will calculate the prime factors of 54189 and 54202.

Prime Factorization of 54189

Prime Factorization of 54202

Now multiplying the highest exponent prime factors to calculate the LCM of 54189 and 54202.

LCM(54189,54202) = 3⁵ × 223¹ × 2¹ × 41¹ × 661¹
LCM(54189,54202) = 2937152178