What is the Least Common Multiple of 1764 and 1770?

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 1764 and 1770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1764 and 1770, than apply into the LCM equation.

GCF(1764,1770) = 6
LCM(1764,1770) = ( 1764 × 1770) / 6
LCM(1764,1770) = 3122280 / 6
LCM(1764,1770) = 520380

Least Common Multiple (LCM) of 1764 and 1770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1764 and 1770. First we will calculate the prime factors of 1764 and 1770.

Prime Factorization of 1764

Prime Factorization of 1770

Now multiplying the highest exponent prime factors to calculate the LCM of 1764 and 1770.

LCM(1764,1770) = 2² × 3² × 7² × 5¹ × 59¹
LCM(1764,1770) = 520380