What is the Least Common Multiple of 47456 and 47470?

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 47456 and 47470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47456 and 47470, than apply into the LCM equation.

GCF(47456,47470) = 2
LCM(47456,47470) = ( 47456 × 47470) / 2
LCM(47456,47470) = 2252736320 / 2
LCM(47456,47470) = 1126368160

Least Common Multiple (LCM) of 47456 and 47470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47456 and 47470. First we will calculate the prime factors of 47456 and 47470.

Prime Factorization of 47456

Prime Factorization of 47470

Now multiplying the highest exponent prime factors to calculate the LCM of 47456 and 47470.

LCM(47456,47470) = 2⁵ × 1483¹ × 5¹ × 47¹ × 101¹
LCM(47456,47470) = 1126368160