What is the Least Common Multiple of 29785 and 29800?

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 29800 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 29800, than apply into the LCM equation.

GCF(29785,29800) = 5
LCM(29785,29800) = ( 29785 × 29800) / 5
LCM(29785,29800) = 887593000 / 5
LCM(29785,29800) = 177518600

Least Common Multiple (LCM) of 29785 and 29800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29785 and 29800. First we will calculate the prime factors of 29785 and 29800.

Prime Factorization of 29785

Prime Factorization of 29800

Now multiplying the highest exponent prime factors to calculate the LCM of 29785 and 29800.

LCM(29785,29800) = 5² × 7¹ × 23¹ × 37¹ × 2³ × 149¹
LCM(29785,29800) = 177518600