What is the Least Common Multiple of 65229 and 65235?

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 65229 and 65235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65229 and 65235, than apply into the LCM equation.

GCF(65229,65235) = 3
LCM(65229,65235) = ( 65229 × 65235) / 3
LCM(65229,65235) = 4255213815 / 3
LCM(65229,65235) = 1418404605

Least Common Multiple (LCM) of 65229 and 65235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65229 and 65235. First we will calculate the prime factors of 65229 and 65235.

Prime Factorization of 65229

Prime Factorization of 65235

Now multiplying the highest exponent prime factors to calculate the LCM of 65229 and 65235.

LCM(65229,65235) = 3¹ × 17¹ × 1279¹ × 5¹ × 4349¹
LCM(65229,65235) = 1418404605