What is the Least Common Multiple of 52130 and 52150?

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 52130 and 52150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52130 and 52150, than apply into the LCM equation.

GCF(52130,52150) = 10
LCM(52130,52150) = ( 52130 × 52150) / 10
LCM(52130,52150) = 2718579500 / 10
LCM(52130,52150) = 271857950

Least Common Multiple (LCM) of 52130 and 52150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52130 and 52150. First we will calculate the prime factors of 52130 and 52150.

Prime Factorization of 52130

Prime Factorization of 52150

Now multiplying the highest exponent prime factors to calculate the LCM of 52130 and 52150.

LCM(52130,52150) = 2¹ × 5² × 13¹ × 401¹ × 7¹ × 149¹
LCM(52130,52150) = 271857950