What is the Least Common Multiple of 10170 and 10177?

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 10170 and 10177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10170 and 10177, than apply into the LCM equation.

GCF(10170,10177) = 1
LCM(10170,10177) = ( 10170 × 10177) / 1
LCM(10170,10177) = 103500090 / 1
LCM(10170,10177) = 103500090

Least Common Multiple (LCM) of 10170 and 10177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10177. First we will calculate the prime factors of 10170 and 10177.

Prime Factorization of 10170

Prime Factorization of 10177

Now multiplying the highest exponent prime factors to calculate the LCM of 10170 and 10177.

LCM(10170,10177) = 2¹ × 3² × 5¹ × 113¹ × 10177¹
LCM(10170,10177) = 103500090