What is the Least Common Multiple of 52538 and 52558?

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 52538 and 52558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52538 and 52558, than apply into the LCM equation.

GCF(52538,52558) = 2
LCM(52538,52558) = ( 52538 × 52558) / 2
LCM(52538,52558) = 2761292204 / 2
LCM(52538,52558) = 1380646102

Least Common Multiple (LCM) of 52538 and 52558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52538 and 52558. First we will calculate the prime factors of 52538 and 52558.

Prime Factorization of 52538

Prime Factorization of 52558

Now multiplying the highest exponent prime factors to calculate the LCM of 52538 and 52558.

LCM(52538,52558) = 2¹ × 109¹ × 241¹ × 11¹ × 2389¹
LCM(52538,52558) = 1380646102