What is the Least Common Multiple of 47705 and 47712?

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 47705 and 47712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47705 and 47712, than apply into the LCM equation.

GCF(47705,47712) = 7
LCM(47705,47712) = ( 47705 × 47712) / 7
LCM(47705,47712) = 2276100960 / 7
LCM(47705,47712) = 325157280

Least Common Multiple (LCM) of 47705 and 47712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47705 and 47712. First we will calculate the prime factors of 47705 and 47712.

Prime Factorization of 47705

Prime Factorization of 47712

Now multiplying the highest exponent prime factors to calculate the LCM of 47705 and 47712.

LCM(47705,47712) = 5¹ × 7¹ × 29¹ × 47¹ × 2⁵ × 3¹ × 71¹
LCM(47705,47712) = 325157280