What is the Least Common Multiple of 69170 and 69184?

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 69170 and 69184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69170 and 69184, than apply into the LCM equation.

GCF(69170,69184) = 2
LCM(69170,69184) = ( 69170 × 69184) / 2
LCM(69170,69184) = 4785457280 / 2
LCM(69170,69184) = 2392728640

Least Common Multiple (LCM) of 69170 and 69184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69170 and 69184. First we will calculate the prime factors of 69170 and 69184.

Prime Factorization of 69170

Prime Factorization of 69184

Now multiplying the highest exponent prime factors to calculate the LCM of 69170 and 69184.

LCM(69170,69184) = 2⁶ × 5¹ × 6917¹ × 23¹ × 47¹
LCM(69170,69184) = 2392728640