What is the Least Common Multiple of 68035 and 68051?

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 68035 and 68051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68035 and 68051, than apply into the LCM equation.

GCF(68035,68051) = 1
LCM(68035,68051) = ( 68035 × 68051) / 1
LCM(68035,68051) = 4629849785 / 1
LCM(68035,68051) = 4629849785

Least Common Multiple (LCM) of 68035 and 68051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68035 and 68051. First we will calculate the prime factors of 68035 and 68051.

Prime Factorization of 68035

Prime Factorization of 68051

Now multiplying the highest exponent prime factors to calculate the LCM of 68035 and 68051.

LCM(68035,68051) = 5¹ × 11¹ × 1237¹ × 17¹ × 4003¹
LCM(68035,68051) = 4629849785