What is the Least Common Multiple of 1770 and 1785?

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 1770 and 1785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1770 and 1785, than apply into the LCM equation.

GCF(1770,1785) = 15
LCM(1770,1785) = ( 1770 × 1785) / 15
LCM(1770,1785) = 3159450 / 15
LCM(1770,1785) = 210630

Least Common Multiple (LCM) of 1770 and 1785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1785. First we will calculate the prime factors of 1770 and 1785.

Prime Factorization of 1770

Prime Factorization of 1785

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1785.

LCM(1770,1785) = 2¹ × 3¹ × 5¹ × 59¹ × 7¹ × 17¹
LCM(1770,1785) = 210630