What is the Least Common Multiple of 9170 and 9181?

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 9170 and 9181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9170 and 9181, than apply into the LCM equation.

GCF(9170,9181) = 1
LCM(9170,9181) = ( 9170 × 9181) / 1
LCM(9170,9181) = 84189770 / 1
LCM(9170,9181) = 84189770

Least Common Multiple (LCM) of 9170 and 9181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9170 and 9181. First we will calculate the prime factors of 9170 and 9181.

Prime Factorization of 9170

Prime Factorization of 9181

Now multiplying the highest exponent prime factors to calculate the LCM of 9170 and 9181.

LCM(9170,9181) = 2¹ × 5¹ × 7¹ × 131¹ × 9181¹
LCM(9170,9181) = 84189770