What is the Least Common Multiple of 65309 and 65313?

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 65309 and 65313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65309 and 65313, than apply into the LCM equation.

GCF(65309,65313) = 1
LCM(65309,65313) = ( 65309 × 65313) / 1
LCM(65309,65313) = 4265526717 / 1
LCM(65309,65313) = 4265526717

Least Common Multiple (LCM) of 65309 and 65313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65309 and 65313. First we will calculate the prime factors of 65309 and 65313.

Prime Factorization of 65309

Prime Factorization of 65313

Now multiplying the highest exponent prime factors to calculate the LCM of 65309 and 65313.

LCM(65309,65313) = 65309¹ × 3³ × 41¹ × 59¹
LCM(65309,65313) = 4265526717