What is the Least Common Multiple of 81156 and 81170?

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 81156 and 81170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81156 and 81170, than apply into the LCM equation.

GCF(81156,81170) = 2
LCM(81156,81170) = ( 81156 × 81170) / 2
LCM(81156,81170) = 6587432520 / 2
LCM(81156,81170) = 3293716260

Least Common Multiple (LCM) of 81156 and 81170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81156 and 81170. First we will calculate the prime factors of 81156 and 81170.

Prime Factorization of 81156

Prime Factorization of 81170

Now multiplying the highest exponent prime factors to calculate the LCM of 81156 and 81170.

LCM(81156,81170) = 2² × 3¹ × 6763¹ × 5¹ × 8117¹
LCM(81156,81170) = 3293716260