What is the Least Common Multiple of 52160 and 52170?

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 52160 and 52170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52160 and 52170, than apply into the LCM equation.

GCF(52160,52170) = 10
LCM(52160,52170) = ( 52160 × 52170) / 10
LCM(52160,52170) = 2721187200 / 10
LCM(52160,52170) = 272118720

Least Common Multiple (LCM) of 52160 and 52170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52160 and 52170. First we will calculate the prime factors of 52160 and 52170.

Prime Factorization of 52160

Prime Factorization of 52170

Now multiplying the highest exponent prime factors to calculate the LCM of 52160 and 52170.

LCM(52160,52170) = 2⁶ × 5¹ × 163¹ × 3¹ × 37¹ × 47¹
LCM(52160,52170) = 272118720