What is the Least Common Multiple of 52234 and 52252?

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 52252 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 52252, than apply into the LCM equation.

GCF(52234,52252) = 2
LCM(52234,52252) = ( 52234 × 52252) / 2
LCM(52234,52252) = 2729330968 / 2
LCM(52234,52252) = 1364665484

Least Common Multiple (LCM) of 52234 and 52252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52234 and 52252. First we will calculate the prime factors of 52234 and 52252.

Prime Factorization of 52234

Prime Factorization of 52252

Now multiplying the highest exponent prime factors to calculate the LCM of 52234 and 52252.

LCM(52234,52252) = 2² × 7² × 13¹ × 41¹ × 13063¹
LCM(52234,52252) = 1364665484