What is the Least Common Multiple of 47456 and 47462?

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 47462 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 47462, than apply into the LCM equation.

GCF(47456,47462) = 2
LCM(47456,47462) = ( 47456 × 47462) / 2
LCM(47456,47462) = 2252356672 / 2
LCM(47456,47462) = 1126178336

Least Common Multiple (LCM) of 47456 and 47462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47456 and 47462. First we will calculate the prime factors of 47456 and 47462.

Prime Factorization of 47456

Prime Factorization of 47462

Now multiplying the highest exponent prime factors to calculate the LCM of 47456 and 47462.

LCM(47456,47462) = 2⁵ × 1483¹ × 19¹ × 1249¹
LCM(47456,47462) = 1126178336