What is the Least Common Multiple of 88160 and 88170?

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 88160 and 88170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88160 and 88170, than apply into the LCM equation.

GCF(88160,88170) = 10
LCM(88160,88170) = ( 88160 × 88170) / 10
LCM(88160,88170) = 7773067200 / 10
LCM(88160,88170) = 777306720

Least Common Multiple (LCM) of 88160 and 88170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88160 and 88170. First we will calculate the prime factors of 88160 and 88170.

Prime Factorization of 88160

Prime Factorization of 88170

Now multiplying the highest exponent prime factors to calculate the LCM of 88160 and 88170.

LCM(88160,88170) = 2⁵ × 5¹ × 19¹ × 29¹ × 3¹ × 2939¹
LCM(88160,88170) = 777306720