What is the Least Common Multiple of 47545 and 47563?

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 47545 and 47563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47545 and 47563, than apply into the LCM equation.

GCF(47545,47563) = 1
LCM(47545,47563) = ( 47545 × 47563) / 1
LCM(47545,47563) = 2261382835 / 1
LCM(47545,47563) = 2261382835

Least Common Multiple (LCM) of 47545 and 47563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47545 and 47563. First we will calculate the prime factors of 47545 and 47563.

Prime Factorization of 47545

Prime Factorization of 47563

Now multiplying the highest exponent prime factors to calculate the LCM of 47545 and 47563.

LCM(47545,47563) = 5¹ × 37¹ × 257¹ × 47563¹
LCM(47545,47563) = 2261382835