What is the Least Common Multiple of 52948 and 52958?

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 52948 and 52958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52948 and 52958, than apply into the LCM equation.

GCF(52948,52958) = 2
LCM(52948,52958) = ( 52948 × 52958) / 2
LCM(52948,52958) = 2804020184 / 2
LCM(52948,52958) = 1402010092

Least Common Multiple (LCM) of 52948 and 52958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52948 and 52958. First we will calculate the prime factors of 52948 and 52958.

Prime Factorization of 52948

Prime Factorization of 52958

Now multiplying the highest exponent prime factors to calculate the LCM of 52948 and 52958.

LCM(52948,52958) = 2² × 7¹ × 31¹ × 61¹ × 26479¹
LCM(52948,52958) = 1402010092