What is the Least Common Multiple of 17064 and 17070?

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 17064 and 17070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17064 and 17070, than apply into the LCM equation.

GCF(17064,17070) = 6
LCM(17064,17070) = ( 17064 × 17070) / 6
LCM(17064,17070) = 291282480 / 6
LCM(17064,17070) = 48547080

Least Common Multiple (LCM) of 17064 and 17070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17064 and 17070. First we will calculate the prime factors of 17064 and 17070.

Prime Factorization of 17064

Prime Factorization of 17070

Now multiplying the highest exponent prime factors to calculate the LCM of 17064 and 17070.

LCM(17064,17070) = 2³ × 3³ × 79¹ × 5¹ × 569¹
LCM(17064,17070) = 48547080