What is the Least Common Multiple of 52514 and 52525?

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 52525 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 52525, than apply into the LCM equation.

GCF(52514,52525) = 11
LCM(52514,52525) = ( 52514 × 52525) / 11
LCM(52514,52525) = 2758297850 / 11
LCM(52514,52525) = 250754350

Least Common Multiple (LCM) of 52514 and 52525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52514 and 52525. First we will calculate the prime factors of 52514 and 52525.

Prime Factorization of 52514

Prime Factorization of 52525

Now multiplying the highest exponent prime factors to calculate the LCM of 52514 and 52525.

LCM(52514,52525) = 2¹ × 7¹ × 11² × 31¹ × 5² × 191¹
LCM(52514,52525) = 250754350