What is the Least Common Multiple of 34920 and 34939?

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 34920 and 34939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34920 and 34939, than apply into the LCM equation.

GCF(34920,34939) = 1
LCM(34920,34939) = ( 34920 × 34939) / 1
LCM(34920,34939) = 1220069880 / 1
LCM(34920,34939) = 1220069880

Least Common Multiple (LCM) of 34920 and 34939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34920 and 34939. First we will calculate the prime factors of 34920 and 34939.

Prime Factorization of 34920

Prime Factorization of 34939

Now multiplying the highest exponent prime factors to calculate the LCM of 34920 and 34939.

LCM(34920,34939) = 2³ × 3² × 5¹ × 97¹ × 34939¹
LCM(34920,34939) = 1220069880