What is the Least Common Multiple of 17152 and 17170?

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 17152 and 17170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17152 and 17170, than apply into the LCM equation.

GCF(17152,17170) = 2
LCM(17152,17170) = ( 17152 × 17170) / 2
LCM(17152,17170) = 294499840 / 2
LCM(17152,17170) = 147249920

Least Common Multiple (LCM) of 17152 and 17170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17152 and 17170. First we will calculate the prime factors of 17152 and 17170.

Prime Factorization of 17152

Prime Factorization of 17170

Now multiplying the highest exponent prime factors to calculate the LCM of 17152 and 17170.

LCM(17152,17170) = 2⁸ × 67¹ × 5¹ × 17¹ × 101¹
LCM(17152,17170) = 147249920