What is the Least Common Multiple of 29785 and 29804?

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 29785 and 29804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29785 and 29804, than apply into the LCM equation.

GCF(29785,29804) = 1
LCM(29785,29804) = ( 29785 × 29804) / 1
LCM(29785,29804) = 887712140 / 1
LCM(29785,29804) = 887712140

Least Common Multiple (LCM) of 29785 and 29804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29785 and 29804. First we will calculate the prime factors of 29785 and 29804.

Prime Factorization of 29785

Prime Factorization of 29804

Now multiplying the highest exponent prime factors to calculate the LCM of 29785 and 29804.

LCM(29785,29804) = 5¹ × 7¹ × 23¹ × 37¹ × 2² × 7451¹
LCM(29785,29804) = 887712140