What is the Least Common Multiple of 66160 and 66170?

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 66160 and 66170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66160 and 66170, than apply into the LCM equation.

GCF(66160,66170) = 10
LCM(66160,66170) = ( 66160 × 66170) / 10
LCM(66160,66170) = 4377807200 / 10
LCM(66160,66170) = 437780720

Least Common Multiple (LCM) of 66160 and 66170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66170. First we will calculate the prime factors of 66160 and 66170.

Prime Factorization of 66160

Prime Factorization of 66170

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66170.

LCM(66160,66170) = 2⁴ × 5¹ × 827¹ × 13¹ × 509¹
LCM(66160,66170) = 437780720