What is the Least Common Multiple of 17070 and 17088?

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 17070 and 17088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17070 and 17088, than apply into the LCM equation.

GCF(17070,17088) = 6
LCM(17070,17088) = ( 17070 × 17088) / 6
LCM(17070,17088) = 291692160 / 6
LCM(17070,17088) = 48615360

Least Common Multiple (LCM) of 17070 and 17088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17070 and 17088. First we will calculate the prime factors of 17070 and 17088.

Prime Factorization of 17070

Prime Factorization of 17088

Now multiplying the highest exponent prime factors to calculate the LCM of 17070 and 17088.

LCM(17070,17088) = 2⁶ × 3¹ × 5¹ × 569¹ × 89¹
LCM(17070,17088) = 48615360