What is the Least Common Multiple of 30920 and 30939?

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 30920 and 30939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30920 and 30939, than apply into the LCM equation.

GCF(30920,30939) = 1
LCM(30920,30939) = ( 30920 × 30939) / 1
LCM(30920,30939) = 956633880 / 1
LCM(30920,30939) = 956633880

Least Common Multiple (LCM) of 30920 and 30939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30920 and 30939. First we will calculate the prime factors of 30920 and 30939.

Prime Factorization of 30920

Prime Factorization of 30939

Now multiplying the highest exponent prime factors to calculate the LCM of 30920 and 30939.

LCM(30920,30939) = 2³ × 5¹ × 773¹ × 3¹ × 10313¹
LCM(30920,30939) = 956633880