What is the Least Common Multiple of 65205 and 65213?

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 65205 and 65213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65205 and 65213, than apply into the LCM equation.

GCF(65205,65213) = 1
LCM(65205,65213) = ( 65205 × 65213) / 1
LCM(65205,65213) = 4252213665 / 1
LCM(65205,65213) = 4252213665

Least Common Multiple (LCM) of 65205 and 65213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65205 and 65213. First we will calculate the prime factors of 65205 and 65213.

Prime Factorization of 65205

Prime Factorization of 65213

Now multiplying the highest exponent prime factors to calculate the LCM of 65205 and 65213.

LCM(65205,65213) = 3⁴ × 5¹ × 7¹ × 23¹ × 65213¹
LCM(65205,65213) = 4252213665