What is the Least Common Multiple of 52234 and 52253?

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 52234 and 52253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52234 and 52253, than apply into the LCM equation.

GCF(52234,52253) = 1
LCM(52234,52253) = ( 52234 × 52253) / 1
LCM(52234,52253) = 2729383202 / 1
LCM(52234,52253) = 2729383202

Least Common Multiple (LCM) of 52234 and 52253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52234 and 52253. First we will calculate the prime factors of 52234 and 52253.

Prime Factorization of 52234

Prime Factorization of 52253

Now multiplying the highest exponent prime factors to calculate the LCM of 52234 and 52253.

LCM(52234,52253) = 2¹ × 7² × 13¹ × 41¹ × 52253¹
LCM(52234,52253) = 2729383202