What is the Least Common Multiple of 69040 and 69059?

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 69040 and 69059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69040 and 69059, than apply into the LCM equation.

GCF(69040,69059) = 1
LCM(69040,69059) = ( 69040 × 69059) / 1
LCM(69040,69059) = 4767833360 / 1
LCM(69040,69059) = 4767833360

Least Common Multiple (LCM) of 69040 and 69059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69040 and 69059. First we will calculate the prime factors of 69040 and 69059.

Prime Factorization of 69040

Prime Factorization of 69059

Now multiplying the highest exponent prime factors to calculate the LCM of 69040 and 69059.

LCM(69040,69059) = 2⁴ × 5¹ × 863¹ × 53¹ × 1303¹
LCM(69040,69059) = 4767833360