What is the Least Common Multiple of 69146 and 69166?

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 69146 and 69166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69146 and 69166, than apply into the LCM equation.

GCF(69146,69166) = 2
LCM(69146,69166) = ( 69146 × 69166) / 2
LCM(69146,69166) = 4782552236 / 2
LCM(69146,69166) = 2391276118

Least Common Multiple (LCM) of 69146 and 69166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69146 and 69166. First we will calculate the prime factors of 69146 and 69166.

Prime Factorization of 69146

Prime Factorization of 69166

Now multiplying the highest exponent prime factors to calculate the LCM of 69146 and 69166.

LCM(69146,69166) = 2¹ × 7¹ × 11¹ × 449¹ × 34583¹
LCM(69146,69166) = 2391276118