What is the Least Common Multiple of 69711 and 69730?

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 69711 and 69730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69711 and 69730, than apply into the LCM equation.

GCF(69711,69730) = 19
LCM(69711,69730) = ( 69711 × 69730) / 19
LCM(69711,69730) = 4860948030 / 19
LCM(69711,69730) = 255839370

Least Common Multiple (LCM) of 69711 and 69730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69711 and 69730. First we will calculate the prime factors of 69711 and 69730.

Prime Factorization of 69711

Prime Factorization of 69730

Now multiplying the highest exponent prime factors to calculate the LCM of 69711 and 69730.

LCM(69711,69730) = 3¹ × 19¹ × 1223¹ × 2¹ × 5¹ × 367¹
LCM(69711,69730) = 255839370