What is the Least Common Multiple of 52252 and 52258?

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 52252 and 52258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52252 and 52258, than apply into the LCM equation.

GCF(52252,52258) = 2
LCM(52252,52258) = ( 52252 × 52258) / 2
LCM(52252,52258) = 2730585016 / 2
LCM(52252,52258) = 1365292508

Least Common Multiple (LCM) of 52252 and 52258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52252 and 52258. First we will calculate the prime factors of 52252 and 52258.

Prime Factorization of 52252

Prime Factorization of 52258

Now multiplying the highest exponent prime factors to calculate the LCM of 52252 and 52258.

LCM(52252,52258) = 2² × 13063¹ × 17¹ × 29¹ × 53¹
LCM(52252,52258) = 1365292508