What is the Least Common Multiple of 34928 and 34942?

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 34928 and 34942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34928 and 34942, than apply into the LCM equation.

GCF(34928,34942) = 2
LCM(34928,34942) = ( 34928 × 34942) / 2
LCM(34928,34942) = 1220454176 / 2
LCM(34928,34942) = 610227088

Least Common Multiple (LCM) of 34928 and 34942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34928 and 34942. First we will calculate the prime factors of 34928 and 34942.

Prime Factorization of 34928

Prime Factorization of 34942

Now multiplying the highest exponent prime factors to calculate the LCM of 34928 and 34942.

LCM(34928,34942) = 2⁴ × 37¹ × 59¹ × 17471¹
LCM(34928,34942) = 610227088