What is the Least Common Multiple of 68290 and 68297?

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 68290 and 68297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68290 and 68297, than apply into the LCM equation.

GCF(68290,68297) = 1
LCM(68290,68297) = ( 68290 × 68297) / 1
LCM(68290,68297) = 4664002130 / 1
LCM(68290,68297) = 4664002130

Least Common Multiple (LCM) of 68290 and 68297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68290 and 68297. First we will calculate the prime factors of 68290 and 68297.

Prime Factorization of 68290

Prime Factorization of 68297

Now multiplying the highest exponent prime factors to calculate the LCM of 68290 and 68297.

LCM(68290,68297) = 2¹ × 5¹ × 6829¹ × 163¹ × 419¹
LCM(68290,68297) = 4664002130