What is the Least Common Multiple of 53228 and 53244?

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 53244 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 53244, than apply into the LCM equation.

GCF(53228,53244) = 4
LCM(53228,53244) = ( 53228 × 53244) / 4
LCM(53228,53244) = 2834071632 / 4
LCM(53228,53244) = 708517908

Least Common Multiple (LCM) of 53228 and 53244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53228 and 53244. First we will calculate the prime factors of 53228 and 53244.

Prime Factorization of 53228

Prime Factorization of 53244

Now multiplying the highest exponent prime factors to calculate the LCM of 53228 and 53244.

LCM(53228,53244) = 2² × 7¹ × 1901¹ × 3³ × 17¹ × 29¹
LCM(53228,53244) = 708517908