What is the Least Common Multiple of 69920 and 69939?

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 69920 and 69939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69920 and 69939, than apply into the LCM equation.

GCF(69920,69939) = 19
LCM(69920,69939) = ( 69920 × 69939) / 19
LCM(69920,69939) = 4890134880 / 19
LCM(69920,69939) = 257375520

Least Common Multiple (LCM) of 69920 and 69939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69920 and 69939. First we will calculate the prime factors of 69920 and 69939.

Prime Factorization of 69920

Prime Factorization of 69939

Now multiplying the highest exponent prime factors to calculate the LCM of 69920 and 69939.

LCM(69920,69939) = 2⁵ × 5¹ × 19¹ × 23¹ × 3² × 409¹
LCM(69920,69939) = 257375520