What is the Least Common Multiple of 34064 and 34079?

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 34064 and 34079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34064 and 34079, than apply into the LCM equation.

GCF(34064,34079) = 1
LCM(34064,34079) = ( 34064 × 34079) / 1
LCM(34064,34079) = 1160867056 / 1
LCM(34064,34079) = 1160867056

Least Common Multiple (LCM) of 34064 and 34079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34064 and 34079. First we will calculate the prime factors of 34064 and 34079.

Prime Factorization of 34064

Prime Factorization of 34079

Now multiplying the highest exponent prime factors to calculate the LCM of 34064 and 34079.

LCM(34064,34079) = 2⁴ × 2129¹ × 53¹ × 643¹
LCM(34064,34079) = 1160867056