What is the Least Common Multiple of 47740 and 47745?

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 47740 and 47745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47740 and 47745, than apply into the LCM equation.

GCF(47740,47745) = 5
LCM(47740,47745) = ( 47740 × 47745) / 5
LCM(47740,47745) = 2279346300 / 5
LCM(47740,47745) = 455869260

Least Common Multiple (LCM) of 47740 and 47745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47740 and 47745. First we will calculate the prime factors of 47740 and 47745.

Prime Factorization of 47740

Prime Factorization of 47745

Now multiplying the highest exponent prime factors to calculate the LCM of 47740 and 47745.

LCM(47740,47745) = 2² × 5¹ × 7¹ × 11¹ × 31¹ × 3² × 1061¹
LCM(47740,47745) = 455869260