What is the Least Common Multiple of 29775 and 29780?

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 29775 and 29780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29775 and 29780, than apply into the LCM equation.

GCF(29775,29780) = 5
LCM(29775,29780) = ( 29775 × 29780) / 5
LCM(29775,29780) = 886699500 / 5
LCM(29775,29780) = 177339900

Least Common Multiple (LCM) of 29775 and 29780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29775 and 29780. First we will calculate the prime factors of 29775 and 29780.

Prime Factorization of 29775

Prime Factorization of 29780

Now multiplying the highest exponent prime factors to calculate the LCM of 29775 and 29780.

LCM(29775,29780) = 3¹ × 5² × 397¹ × 2² × 1489¹
LCM(29775,29780) = 177339900