What is the Least Common Multiple of 52514 and 52521?

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 52514 and 52521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52514 and 52521, than apply into the LCM equation.

GCF(52514,52521) = 7
LCM(52514,52521) = ( 52514 × 52521) / 7
LCM(52514,52521) = 2758087794 / 7
LCM(52514,52521) = 394012542

Least Common Multiple (LCM) of 52514 and 52521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52514 and 52521. First we will calculate the prime factors of 52514 and 52521.

Prime Factorization of 52514

Prime Factorization of 52521

Now multiplying the highest exponent prime factors to calculate the LCM of 52514 and 52521.

LCM(52514,52521) = 2¹ × 7¹ × 11² × 31¹ × 3¹ × 41¹ × 61¹
LCM(52514,52521) = 394012542