What is the Least Common Multiple of 53218 and 53228?

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 53218 and 53228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53218 and 53228, than apply into the LCM equation.

GCF(53218,53228) = 2
LCM(53218,53228) = ( 53218 × 53228) / 2
LCM(53218,53228) = 2832687704 / 2
LCM(53218,53228) = 1416343852

Least Common Multiple (LCM) of 53218 and 53228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53218 and 53228. First we will calculate the prime factors of 53218 and 53228.

Prime Factorization of 53218

Prime Factorization of 53228

Now multiplying the highest exponent prime factors to calculate the LCM of 53218 and 53228.

LCM(53218,53228) = 2² × 11¹ × 41¹ × 59¹ × 7¹ × 1901¹
LCM(53218,53228) = 1416343852