What is the Least Common Multiple of 52234 and 52240?

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 52240 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 52240, than apply into the LCM equation.

GCF(52234,52240) = 2
LCM(52234,52240) = ( 52234 × 52240) / 2
LCM(52234,52240) = 2728704160 / 2
LCM(52234,52240) = 1364352080

Least Common Multiple (LCM) of 52234 and 52240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52234 and 52240. First we will calculate the prime factors of 52234 and 52240.

Prime Factorization of 52234

Prime Factorization of 52240

Now multiplying the highest exponent prime factors to calculate the LCM of 52234 and 52240.

LCM(52234,52240) = 2⁴ × 7² × 13¹ × 41¹ × 5¹ × 653¹
LCM(52234,52240) = 1364352080