What is the Least Common Multiple of 69290 and 69295?

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 69290 and 69295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69290 and 69295, than apply into the LCM equation.

GCF(69290,69295) = 5
LCM(69290,69295) = ( 69290 × 69295) / 5
LCM(69290,69295) = 4801450550 / 5
LCM(69290,69295) = 960290110

Least Common Multiple (LCM) of 69290 and 69295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69290 and 69295. First we will calculate the prime factors of 69290 and 69295.

Prime Factorization of 69290

Prime Factorization of 69295

Now multiplying the highest exponent prime factors to calculate the LCM of 69290 and 69295.

LCM(69290,69295) = 2¹ × 5¹ × 13² × 41¹ × 13859¹
LCM(69290,69295) = 960290110