What is the Least Common Multiple of 69825 and 69830?

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 69830 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 69830, than apply into the LCM equation.

GCF(69825,69830) = 5
LCM(69825,69830) = ( 69825 × 69830) / 5
LCM(69825,69830) = 4875879750 / 5
LCM(69825,69830) = 975175950

Least Common Multiple (LCM) of 69825 and 69830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69825 and 69830. First we will calculate the prime factors of 69825 and 69830.

Prime Factorization of 69825

Prime Factorization of 69830

Now multiplying the highest exponent prime factors to calculate the LCM of 69825 and 69830.

LCM(69825,69830) = 3¹ × 5² × 7² × 19¹ × 2¹ × 6983¹
LCM(69825,69830) = 975175950