What is the Least Common Multiple of 53830 and 53850?

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 53830 and 53850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53830 and 53850, than apply into the LCM equation.

GCF(53830,53850) = 10
LCM(53830,53850) = ( 53830 × 53850) / 10
LCM(53830,53850) = 2898745500 / 10
LCM(53830,53850) = 289874550

Least Common Multiple (LCM) of 53830 and 53850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53830 and 53850. First we will calculate the prime factors of 53830 and 53850.

Prime Factorization of 53830

Prime Factorization of 53850

Now multiplying the highest exponent prime factors to calculate the LCM of 53830 and 53850.

LCM(53830,53850) = 2¹ × 5² × 7¹ × 769¹ × 3¹ × 359¹
LCM(53830,53850) = 289874550