What is the Least Common Multiple of 69630 and 69650?

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 69630 and 69650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69630 and 69650, than apply into the LCM equation.

GCF(69630,69650) = 10
LCM(69630,69650) = ( 69630 × 69650) / 10
LCM(69630,69650) = 4849729500 / 10
LCM(69630,69650) = 484972950

Least Common Multiple (LCM) of 69630 and 69650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69630 and 69650. First we will calculate the prime factors of 69630 and 69650.

Prime Factorization of 69630

Prime Factorization of 69650

Now multiplying the highest exponent prime factors to calculate the LCM of 69630 and 69650.

LCM(69630,69650) = 2¹ × 3¹ × 5² × 11¹ × 211¹ × 7¹ × 199¹
LCM(69630,69650) = 484972950