What is the Least Common Multiple of 17120 and 17129?

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 17120 and 17129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17120 and 17129, than apply into the LCM equation.

GCF(17120,17129) = 1
LCM(17120,17129) = ( 17120 × 17129) / 1
LCM(17120,17129) = 293248480 / 1
LCM(17120,17129) = 293248480

Least Common Multiple (LCM) of 17120 and 17129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17120 and 17129. First we will calculate the prime factors of 17120 and 17129.

Prime Factorization of 17120

Prime Factorization of 17129

Now multiplying the highest exponent prime factors to calculate the LCM of 17120 and 17129.

LCM(17120,17129) = 2⁵ × 5¹ × 107¹ × 7¹ × 2447¹
LCM(17120,17129) = 293248480