What is the Least Common Multiple of 47160 and 47166?

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 47160 and 47166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47160 and 47166, than apply into the LCM equation.

GCF(47160,47166) = 6
LCM(47160,47166) = ( 47160 × 47166) / 6
LCM(47160,47166) = 2224348560 / 6
LCM(47160,47166) = 370724760

Least Common Multiple (LCM) of 47160 and 47166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47160 and 47166. First we will calculate the prime factors of 47160 and 47166.

Prime Factorization of 47160

Prime Factorization of 47166

Now multiplying the highest exponent prime factors to calculate the LCM of 47160 and 47166.

LCM(47160,47166) = 2³ × 3² × 5¹ × 131¹ × 7¹ × 1123¹
LCM(47160,47166) = 370724760