What is the Least Common Multiple of 55230 and 55243?

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 55230 and 55243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55230 and 55243, than apply into the LCM equation.

GCF(55230,55243) = 1
LCM(55230,55243) = ( 55230 × 55243) / 1
LCM(55230,55243) = 3051070890 / 1
LCM(55230,55243) = 3051070890

Least Common Multiple (LCM) of 55230 and 55243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55230 and 55243. First we will calculate the prime factors of 55230 and 55243.

Prime Factorization of 55230

Prime Factorization of 55243

Now multiplying the highest exponent prime factors to calculate the LCM of 55230 and 55243.

LCM(55230,55243) = 2¹ × 3¹ × 5¹ × 7¹ × 263¹ × 55243¹
LCM(55230,55243) = 3051070890