What is the Least Common Multiple of 47656 and 47674?

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 47656 and 47674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47656 and 47674, than apply into the LCM equation.

GCF(47656,47674) = 2
LCM(47656,47674) = ( 47656 × 47674) / 2
LCM(47656,47674) = 2271952144 / 2
LCM(47656,47674) = 1135976072

Least Common Multiple (LCM) of 47656 and 47674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47656 and 47674. First we will calculate the prime factors of 47656 and 47674.

Prime Factorization of 47656

Prime Factorization of 47674

Now multiplying the highest exponent prime factors to calculate the LCM of 47656 and 47674.

LCM(47656,47674) = 2³ × 7¹ × 23¹ × 37¹ × 11² × 197¹
LCM(47656,47674) = 1135976072