What is the Least Common Multiple of 69238 and 69254?

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 69238 and 69254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69238 and 69254, than apply into the LCM equation.

GCF(69238,69254) = 2
LCM(69238,69254) = ( 69238 × 69254) / 2
LCM(69238,69254) = 4795008452 / 2
LCM(69238,69254) = 2397504226

Least Common Multiple (LCM) of 69238 and 69254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69238 and 69254. First we will calculate the prime factors of 69238 and 69254.

Prime Factorization of 69238

Prime Factorization of 69254

Now multiplying the highest exponent prime factors to calculate the LCM of 69238 and 69254.

LCM(69238,69254) = 2¹ × 13¹ × 2663¹ × 31¹ × 1117¹
LCM(69238,69254) = 2397504226