What is the Least Common Multiple of 47674 and 47680?

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 47674 and 47680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47674 and 47680, than apply into the LCM equation.

GCF(47674,47680) = 2
LCM(47674,47680) = ( 47674 × 47680) / 2
LCM(47674,47680) = 2273096320 / 2
LCM(47674,47680) = 1136548160

Least Common Multiple (LCM) of 47674 and 47680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47674 and 47680. First we will calculate the prime factors of 47674 and 47680.

Prime Factorization of 47674

Prime Factorization of 47680

Now multiplying the highest exponent prime factors to calculate the LCM of 47674 and 47680.

LCM(47674,47680) = 2⁶ × 11² × 197¹ × 5¹ × 149¹
LCM(47674,47680) = 1136548160