What is the Least Common Multiple of 68509 and 68513?

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 68509 and 68513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68509 and 68513, than apply into the LCM equation.

GCF(68509,68513) = 1
LCM(68509,68513) = ( 68509 × 68513) / 1
LCM(68509,68513) = 4693757117 / 1
LCM(68509,68513) = 4693757117

Least Common Multiple (LCM) of 68509 and 68513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68509 and 68513. First we will calculate the prime factors of 68509 and 68513.

Prime Factorization of 68509

Prime Factorization of 68513

Now multiplying the highest exponent prime factors to calculate the LCM of 68509 and 68513.

LCM(68509,68513) = 7¹ × 9787¹ × 131¹ × 523¹
LCM(68509,68513) = 4693757117