What is the Least Common Multiple of 47920 and 47935?

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 47920 and 47935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47920 and 47935, than apply into the LCM equation.

GCF(47920,47935) = 5
LCM(47920,47935) = ( 47920 × 47935) / 5
LCM(47920,47935) = 2297045200 / 5
LCM(47920,47935) = 459409040

Least Common Multiple (LCM) of 47920 and 47935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47920 and 47935. First we will calculate the prime factors of 47920 and 47935.

Prime Factorization of 47920

Prime Factorization of 47935

Now multiplying the highest exponent prime factors to calculate the LCM of 47920 and 47935.

LCM(47920,47935) = 2⁴ × 5¹ × 599¹ × 9587¹
LCM(47920,47935) = 459409040