What is the Least Common Multiple of 52942 and 52948?

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 52942 and 52948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52942 and 52948, than apply into the LCM equation.

GCF(52942,52948) = 2
LCM(52942,52948) = ( 52942 × 52948) / 2
LCM(52942,52948) = 2803173016 / 2
LCM(52942,52948) = 1401586508

Least Common Multiple (LCM) of 52942 and 52948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52942 and 52948. First we will calculate the prime factors of 52942 and 52948.

Prime Factorization of 52942

Prime Factorization of 52948

Now multiplying the highest exponent prime factors to calculate the LCM of 52942 and 52948.

LCM(52942,52948) = 2² × 103¹ × 257¹ × 7¹ × 31¹ × 61¹
LCM(52942,52948) = 1401586508