What is the Least Common Multiple of 68029 and 68045?

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 68029 and 68045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68029 and 68045, than apply into the LCM equation.

GCF(68029,68045) = 1
LCM(68029,68045) = ( 68029 × 68045) / 1
LCM(68029,68045) = 4629033305 / 1
LCM(68029,68045) = 4629033305

Least Common Multiple (LCM) of 68029 and 68045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68029 and 68045. First we will calculate the prime factors of 68029 and 68045.

Prime Factorization of 68029

Prime Factorization of 68045

Now multiplying the highest exponent prime factors to calculate the LCM of 68029 and 68045.

LCM(68029,68045) = 13¹ × 5233¹ × 5¹ × 31¹ × 439¹
LCM(68029,68045) = 4629033305