What is the Least Common Multiple of 72898 and 72904?

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 72898 and 72904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72898 and 72904, than apply into the LCM equation.

GCF(72898,72904) = 2
LCM(72898,72904) = ( 72898 × 72904) / 2
LCM(72898,72904) = 5314555792 / 2
LCM(72898,72904) = 2657277896

Least Common Multiple (LCM) of 72898 and 72904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72898 and 72904. First we will calculate the prime factors of 72898 and 72904.

Prime Factorization of 72898

Prime Factorization of 72904

Now multiplying the highest exponent prime factors to calculate the LCM of 72898 and 72904.

LCM(72898,72904) = 2³ × 7¹ × 41¹ × 127¹ × 13¹ × 701¹
LCM(72898,72904) = 2657277896