What is the Least Common Multiple of 53228 and 53235?

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 53235 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 53235, than apply into the LCM equation.

GCF(53228,53235) = 7
LCM(53228,53235) = ( 53228 × 53235) / 7
LCM(53228,53235) = 2833592580 / 7
LCM(53228,53235) = 404798940

Least Common Multiple (LCM) of 53228 and 53235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53228 and 53235. First we will calculate the prime factors of 53228 and 53235.

Prime Factorization of 53228

Prime Factorization of 53235

Now multiplying the highest exponent prime factors to calculate the LCM of 53228 and 53235.

LCM(53228,53235) = 2² × 7¹ × 1901¹ × 3² × 5¹ × 13²
LCM(53228,53235) = 404798940