What is the Least Common Multiple of 52830 and 52850?

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 52830 and 52850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52830 and 52850, than apply into the LCM equation.

GCF(52830,52850) = 10
LCM(52830,52850) = ( 52830 × 52850) / 10
LCM(52830,52850) = 2792065500 / 10
LCM(52830,52850) = 279206550

Least Common Multiple (LCM) of 52830 and 52850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52830 and 52850. First we will calculate the prime factors of 52830 and 52850.

Prime Factorization of 52830

Prime Factorization of 52850

Now multiplying the highest exponent prime factors to calculate the LCM of 52830 and 52850.

LCM(52830,52850) = 2¹ × 3² × 5² × 587¹ × 7¹ × 151¹
LCM(52830,52850) = 279206550