What is the Least Common Multiple of 69830 and 69846?

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 69830 and 69846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69830 and 69846, than apply into the LCM equation.

GCF(69830,69846) = 2
LCM(69830,69846) = ( 69830 × 69846) / 2
LCM(69830,69846) = 4877346180 / 2
LCM(69830,69846) = 2438673090

Least Common Multiple (LCM) of 69830 and 69846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69830 and 69846. First we will calculate the prime factors of 69830 and 69846.

Prime Factorization of 69830

Prime Factorization of 69846

Now multiplying the highest exponent prime factors to calculate the LCM of 69830 and 69846.

LCM(69830,69846) = 2¹ × 5¹ × 6983¹ × 3¹ × 7¹ × 1663¹
LCM(69830,69846) = 2438673090