What is the Least Common Multiple of 52078 and 52091?

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 52078 and 52091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52078 and 52091, than apply into the LCM equation.

GCF(52078,52091) = 13
LCM(52078,52091) = ( 52078 × 52091) / 13
LCM(52078,52091) = 2712795098 / 13
LCM(52078,52091) = 208676546

Least Common Multiple (LCM) of 52078 and 52091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52078 and 52091. First we will calculate the prime factors of 52078 and 52091.

Prime Factorization of 52078

Prime Factorization of 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 52078 and 52091.

LCM(52078,52091) = 2¹ × 13¹ × 2003¹ × 4007¹
LCM(52078,52091) = 208676546