What is the Least Common Multiple of 47785 and 47804?

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 47785 and 47804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47785 and 47804, than apply into the LCM equation.

GCF(47785,47804) = 19
LCM(47785,47804) = ( 47785 × 47804) / 19
LCM(47785,47804) = 2284314140 / 19
LCM(47785,47804) = 120227060

Least Common Multiple (LCM) of 47785 and 47804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47785 and 47804. First we will calculate the prime factors of 47785 and 47804.

Prime Factorization of 47785

Prime Factorization of 47804

Now multiplying the highest exponent prime factors to calculate the LCM of 47785 and 47804.

LCM(47785,47804) = 5¹ × 19¹ × 503¹ × 2² × 17¹ × 37¹
LCM(47785,47804) = 120227060