What is the Least Common Multiple of 47144 and 47160?

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 47144 and 47160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47144 and 47160, than apply into the LCM equation.

GCF(47144,47160) = 8
LCM(47144,47160) = ( 47144 × 47160) / 8
LCM(47144,47160) = 2223311040 / 8
LCM(47144,47160) = 277913880

Least Common Multiple (LCM) of 47144 and 47160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47144 and 47160. First we will calculate the prime factors of 47144 and 47160.

Prime Factorization of 47144

Prime Factorization of 47160

Now multiplying the highest exponent prime factors to calculate the LCM of 47144 and 47160.

LCM(47144,47160) = 2³ × 71¹ × 83¹ × 3² × 5¹ × 131¹
LCM(47144,47160) = 277913880