What is the Least Common Multiple of 34775 and 34780?

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 34775 and 34780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34775 and 34780, than apply into the LCM equation.

GCF(34775,34780) = 5
LCM(34775,34780) = ( 34775 × 34780) / 5
LCM(34775,34780) = 1209474500 / 5
LCM(34775,34780) = 241894900

Least Common Multiple (LCM) of 34775 and 34780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34775 and 34780. First we will calculate the prime factors of 34775 and 34780.

Prime Factorization of 34775

Prime Factorization of 34780

Now multiplying the highest exponent prime factors to calculate the LCM of 34775 and 34780.

LCM(34775,34780) = 5² × 13¹ × 107¹ × 2² × 37¹ × 47¹
LCM(34775,34780) = 241894900