What is the Least Common Multiple of 47770 and 47775?

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 47770 and 47775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47770 and 47775, than apply into the LCM equation.

GCF(47770,47775) = 5
LCM(47770,47775) = ( 47770 × 47775) / 5
LCM(47770,47775) = 2282211750 / 5
LCM(47770,47775) = 456442350

Least Common Multiple (LCM) of 47770 and 47775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47770 and 47775. First we will calculate the prime factors of 47770 and 47775.

Prime Factorization of 47770

Prime Factorization of 47775

Now multiplying the highest exponent prime factors to calculate the LCM of 47770 and 47775.

LCM(47770,47775) = 2¹ × 5² × 17¹ × 281¹ × 3¹ × 7² × 13¹
LCM(47770,47775) = 456442350