What is the Least Common Multiple of 53228 and 53243?

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 53228 and 53243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53228 and 53243, than apply into the LCM equation.

GCF(53228,53243) = 1
LCM(53228,53243) = ( 53228 × 53243) / 1
LCM(53228,53243) = 2834018404 / 1
LCM(53228,53243) = 2834018404

Least Common Multiple (LCM) of 53228 and 53243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53228 and 53243. First we will calculate the prime factors of 53228 and 53243.

Prime Factorization of 53228

Prime Factorization of 53243

Now multiplying the highest exponent prime factors to calculate the LCM of 53228 and 53243.

LCM(53228,53243) = 2² × 7¹ × 1901¹ × 37¹ × 1439¹
LCM(53228,53243) = 2834018404