What is the Least Common Multiple of 47055 and 47063?

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 47055 and 47063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47055 and 47063, than apply into the LCM equation.

GCF(47055,47063) = 1
LCM(47055,47063) = ( 47055 × 47063) / 1
LCM(47055,47063) = 2214549465 / 1
LCM(47055,47063) = 2214549465

Least Common Multiple (LCM) of 47055 and 47063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47055 and 47063. First we will calculate the prime factors of 47055 and 47063.

Prime Factorization of 47055

Prime Factorization of 47063

Now multiplying the highest exponent prime factors to calculate the LCM of 47055 and 47063.

LCM(47055,47063) = 3¹ × 5¹ × 3137¹ × 19¹ × 2477¹
LCM(47055,47063) = 2214549465