What is the Least Common Multiple of 47201 and 47205?

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 47201 and 47205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47201 and 47205, than apply into the LCM equation.

GCF(47201,47205) = 1
LCM(47201,47205) = ( 47201 × 47205) / 1
LCM(47201,47205) = 2228123205 / 1
LCM(47201,47205) = 2228123205

Least Common Multiple (LCM) of 47201 and 47205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47201 and 47205. First we will calculate the prime factors of 47201 and 47205.

Prime Factorization of 47201

Prime Factorization of 47205

Now multiplying the highest exponent prime factors to calculate the LCM of 47201 and 47205.

LCM(47201,47205) = 7¹ × 11¹ × 613¹ × 3² × 5¹ × 1049¹
LCM(47201,47205) = 2228123205