What is the Least Common Multiple of 52508 and 52526?

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 52508 and 52526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52508 and 52526, than apply into the LCM equation.

GCF(52508,52526) = 2
LCM(52508,52526) = ( 52508 × 52526) / 2
LCM(52508,52526) = 2758035208 / 2
LCM(52508,52526) = 1379017604

Least Common Multiple (LCM) of 52508 and 52526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52508 and 52526. First we will calculate the prime factors of 52508 and 52526.

Prime Factorization of 52508

Prime Factorization of 52526

Now multiplying the highest exponent prime factors to calculate the LCM of 52508 and 52526.

LCM(52508,52526) = 2² × 13127¹ × 26263¹
LCM(52508,52526) = 1379017604