What is the Least Common Multiple of 64160 and 64170?

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 64160 and 64170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64160 and 64170, than apply into the LCM equation.

GCF(64160,64170) = 10
LCM(64160,64170) = ( 64160 × 64170) / 10
LCM(64160,64170) = 4117147200 / 10
LCM(64160,64170) = 411714720

Least Common Multiple (LCM) of 64160 and 64170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64160 and 64170. First we will calculate the prime factors of 64160 and 64170.

Prime Factorization of 64160

Prime Factorization of 64170

Now multiplying the highest exponent prime factors to calculate the LCM of 64160 and 64170.

LCM(64160,64170) = 2⁵ × 5¹ × 401¹ × 3² × 23¹ × 31¹
LCM(64160,64170) = 411714720