What is the Least Common Multiple of 69825 and 69836?

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 69825 and 69836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69825 and 69836, than apply into the LCM equation.

GCF(69825,69836) = 1
LCM(69825,69836) = ( 69825 × 69836) / 1
LCM(69825,69836) = 4876298700 / 1
LCM(69825,69836) = 4876298700

Least Common Multiple (LCM) of 69825 and 69836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69825 and 69836. First we will calculate the prime factors of 69825 and 69836.

Prime Factorization of 69825

Prime Factorization of 69836

Now multiplying the highest exponent prime factors to calculate the LCM of 69825 and 69836.

LCM(69825,69836) = 3¹ × 5² × 7² × 19¹ × 2² × 13¹ × 17¹ × 79¹
LCM(69825,69836) = 4876298700