What is the Least Common Multiple of 69143 and 69154?

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 69143 and 69154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69143 and 69154, than apply into the LCM equation.

GCF(69143,69154) = 1
LCM(69143,69154) = ( 69143 × 69154) / 1
LCM(69143,69154) = 4781515022 / 1
LCM(69143,69154) = 4781515022

Least Common Multiple (LCM) of 69143 and 69154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69143 and 69154. First we will calculate the prime factors of 69143 and 69154.

Prime Factorization of 69143

Prime Factorization of 69154

Now multiplying the highest exponent prime factors to calculate the LCM of 69143 and 69154.

LCM(69143,69154) = 69143¹ × 2¹ × 71¹ × 487¹
LCM(69143,69154) = 4781515022