What is the Least Common Multiple of 10164 and 10170?

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 10164 and 10170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10164 and 10170, than apply into the LCM equation.

GCF(10164,10170) = 6
LCM(10164,10170) = ( 10164 × 10170) / 6
LCM(10164,10170) = 103367880 / 6
LCM(10164,10170) = 17227980

Least Common Multiple (LCM) of 10164 and 10170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10164 and 10170. First we will calculate the prime factors of 10164 and 10170.

Prime Factorization of 10164

Prime Factorization of 10170

Now multiplying the highest exponent prime factors to calculate the LCM of 10164 and 10170.

LCM(10164,10170) = 2² × 3² × 7¹ × 11² × 5¹ × 113¹
LCM(10164,10170) = 17227980