What is the Least Common Multiple of 70164 and 70170?

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 70164 and 70170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70164 and 70170, than apply into the LCM equation.

GCF(70164,70170) = 6
LCM(70164,70170) = ( 70164 × 70170) / 6
LCM(70164,70170) = 4923407880 / 6
LCM(70164,70170) = 820567980

Least Common Multiple (LCM) of 70164 and 70170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70164 and 70170. First we will calculate the prime factors of 70164 and 70170.

Prime Factorization of 70164

Prime Factorization of 70170

Now multiplying the highest exponent prime factors to calculate the LCM of 70164 and 70170.

LCM(70164,70170) = 2² × 3² × 1949¹ × 5¹ × 2339¹
LCM(70164,70170) = 820567980