What is the Least Common Multiple of 47164 and 47177?

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 47164 and 47177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47164 and 47177, than apply into the LCM equation.

GCF(47164,47177) = 13
LCM(47164,47177) = ( 47164 × 47177) / 13
LCM(47164,47177) = 2225056028 / 13
LCM(47164,47177) = 171158156

Least Common Multiple (LCM) of 47164 and 47177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47164 and 47177. First we will calculate the prime factors of 47164 and 47177.

Prime Factorization of 47164

Prime Factorization of 47177

Now multiplying the highest exponent prime factors to calculate the LCM of 47164 and 47177.

LCM(47164,47177) = 2² × 13¹ × 907¹ × 19¹ × 191¹
LCM(47164,47177) = 171158156