What is the Least Common Multiple of 53217 and 53229?

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 53217 and 53229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53217 and 53229, than apply into the LCM equation.

GCF(53217,53229) = 3
LCM(53217,53229) = ( 53217 × 53229) / 3
LCM(53217,53229) = 2832687693 / 3
LCM(53217,53229) = 944229231

Least Common Multiple (LCM) of 53217 and 53229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53217 and 53229. First we will calculate the prime factors of 53217 and 53229.

Prime Factorization of 53217

Prime Factorization of 53229

Now multiplying the highest exponent prime factors to calculate the LCM of 53217 and 53229.

LCM(53217,53229) = 3⁶ × 73¹ × 11¹ × 1613¹
LCM(53217,53229) = 944229231