What is the Least Common Multiple of 47792 and 47800?

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 47792 and 47800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47792 and 47800, than apply into the LCM equation.

GCF(47792,47800) = 8
LCM(47792,47800) = ( 47792 × 47800) / 8
LCM(47792,47800) = 2284457600 / 8
LCM(47792,47800) = 285557200

Least Common Multiple (LCM) of 47792 and 47800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47792 and 47800. First we will calculate the prime factors of 47792 and 47800.

Prime Factorization of 47792

Prime Factorization of 47800

Now multiplying the highest exponent prime factors to calculate the LCM of 47792 and 47800.

LCM(47792,47800) = 2⁴ × 29¹ × 103¹ × 5² × 239¹
LCM(47792,47800) = 285557200