What is the Least Common Multiple of 34056 and 34060?

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 34056 and 34060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34056 and 34060, than apply into the LCM equation.

GCF(34056,34060) = 4
LCM(34056,34060) = ( 34056 × 34060) / 4
LCM(34056,34060) = 1159947360 / 4
LCM(34056,34060) = 289986840

Least Common Multiple (LCM) of 34056 and 34060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34056 and 34060. First we will calculate the prime factors of 34056 and 34060.

Prime Factorization of 34056

Prime Factorization of 34060

Now multiplying the highest exponent prime factors to calculate the LCM of 34056 and 34060.

LCM(34056,34060) = 2³ × 3² × 11¹ × 43¹ × 5¹ × 13¹ × 131¹
LCM(34056,34060) = 289986840