What is the Least Common Multiple of 52574 and 52582?

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 52574 and 52582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52574 and 52582, than apply into the LCM equation.

GCF(52574,52582) = 2
LCM(52574,52582) = ( 52574 × 52582) / 2
LCM(52574,52582) = 2764446068 / 2
LCM(52574,52582) = 1382223034

Least Common Multiple (LCM) of 52574 and 52582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52574 and 52582. First we will calculate the prime factors of 52574 and 52582.

Prime Factorization of 52574

Prime Factorization of 52582

Now multiplying the highest exponent prime factors to calculate the LCM of 52574 and 52582.

LCM(52574,52582) = 2¹ × 97¹ × 271¹ × 61¹ × 431¹
LCM(52574,52582) = 1382223034