What is the Least Common Multiple of 29780 and 29785?

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 29780 and 29785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29780 and 29785, than apply into the LCM equation.

GCF(29780,29785) = 5
LCM(29780,29785) = ( 29780 × 29785) / 5
LCM(29780,29785) = 886997300 / 5
LCM(29780,29785) = 177399460

Least Common Multiple (LCM) of 29780 and 29785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29780 and 29785. First we will calculate the prime factors of 29780 and 29785.

Prime Factorization of 29780

Prime Factorization of 29785

Now multiplying the highest exponent prime factors to calculate the LCM of 29780 and 29785.

LCM(29780,29785) = 2² × 5¹ × 1489¹ × 7¹ × 23¹ × 37¹
LCM(29780,29785) = 177399460