What is the Least Common Multiple of 14760 and 14770?

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 14760 and 14770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14760 and 14770, than apply into the LCM equation.

GCF(14760,14770) = 10
LCM(14760,14770) = ( 14760 × 14770) / 10
LCM(14760,14770) = 218005200 / 10
LCM(14760,14770) = 21800520

Least Common Multiple (LCM) of 14760 and 14770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14760 and 14770. First we will calculate the prime factors of 14760 and 14770.

Prime Factorization of 14760

Prime Factorization of 14770

Now multiplying the highest exponent prime factors to calculate the LCM of 14760 and 14770.

LCM(14760,14770) = 2³ × 3² × 5¹ × 41¹ × 7¹ × 211¹
LCM(14760,14770) = 21800520