What is the Least Common Multiple of 53830 and 53846?

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 53846 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 53846, than apply into the LCM equation.

GCF(53830,53846) = 2
LCM(53830,53846) = ( 53830 × 53846) / 2
LCM(53830,53846) = 2898530180 / 2
LCM(53830,53846) = 1449265090

Least Common Multiple (LCM) of 53830 and 53846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53830 and 53846. First we will calculate the prime factors of 53830 and 53846.

Prime Factorization of 53830

Prime Factorization of 53846

Now multiplying the highest exponent prime factors to calculate the LCM of 53830 and 53846.

LCM(53830,53846) = 2¹ × 5¹ × 7¹ × 769¹ × 13¹ × 19¹ × 109¹
LCM(53830,53846) = 1449265090