What is the Least Common Multiple of 34220 and 34238?

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 34220 and 34238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34220 and 34238, than apply into the LCM equation.

GCF(34220,34238) = 2
LCM(34220,34238) = ( 34220 × 34238) / 2
LCM(34220,34238) = 1171624360 / 2
LCM(34220,34238) = 585812180

Least Common Multiple (LCM) of 34220 and 34238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34220 and 34238. First we will calculate the prime factors of 34220 and 34238.

Prime Factorization of 34220

Prime Factorization of 34238

Now multiplying the highest exponent prime factors to calculate the LCM of 34220 and 34238.

LCM(34220,34238) = 2² × 5¹ × 29¹ × 59¹ × 17¹ × 19¹ × 53¹
LCM(34220,34238) = 585812180