What is the Least Common Multiple of 69849 and 69861?

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 69849 and 69861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69849 and 69861, than apply into the LCM equation.

GCF(69849,69861) = 3
LCM(69849,69861) = ( 69849 × 69861) / 3
LCM(69849,69861) = 4879720989 / 3
LCM(69849,69861) = 1626573663

Least Common Multiple (LCM) of 69849 and 69861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69849 and 69861. First we will calculate the prime factors of 69849 and 69861.

Prime Factorization of 69849

Prime Factorization of 69861

Now multiplying the highest exponent prime factors to calculate the LCM of 69849 and 69861.

LCM(69849,69861) = 3³ × 13¹ × 199¹ × 11¹ × 29¹ × 73¹
LCM(69849,69861) = 1626573663