What is the Least Common Multiple of 34013 and 34032?

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 34013 and 34032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34013 and 34032, than apply into the LCM equation.

GCF(34013,34032) = 1
LCM(34013,34032) = ( 34013 × 34032) / 1
LCM(34013,34032) = 1157530416 / 1
LCM(34013,34032) = 1157530416

Least Common Multiple (LCM) of 34013 and 34032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34013 and 34032. First we will calculate the prime factors of 34013 and 34032.

Prime Factorization of 34013

Prime Factorization of 34032

Now multiplying the highest exponent prime factors to calculate the LCM of 34013 and 34032.

LCM(34013,34032) = 7¹ × 43¹ × 113¹ × 2⁴ × 3¹ × 709¹
LCM(34013,34032) = 1157530416