What is the Least Common Multiple of 52240 and 52260?

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 52240 and 52260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52240 and 52260, than apply into the LCM equation.

GCF(52240,52260) = 20
LCM(52240,52260) = ( 52240 × 52260) / 20
LCM(52240,52260) = 2730062400 / 20
LCM(52240,52260) = 136503120

Least Common Multiple (LCM) of 52240 and 52260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52240 and 52260. First we will calculate the prime factors of 52240 and 52260.

Prime Factorization of 52240

Prime Factorization of 52260

Now multiplying the highest exponent prime factors to calculate the LCM of 52240 and 52260.

LCM(52240,52260) = 2⁴ × 5¹ × 653¹ × 3¹ × 13¹ × 67¹
LCM(52240,52260) = 136503120