What is the Least Common Multiple of 1770 and 1790?

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 1790 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 1790, than apply into the LCM equation.

GCF(1770,1790) = 10
LCM(1770,1790) = ( 1770 × 1790) / 10
LCM(1770,1790) = 3168300 / 10
LCM(1770,1790) = 316830

Least Common Multiple (LCM) of 1770 and 1790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1790. First we will calculate the prime factors of 1770 and 1790.

Prime Factorization of 1770

Prime Factorization of 1790

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1790.

LCM(1770,1790) = 2¹ × 3¹ × 5¹ × 59¹ × 179¹
LCM(1770,1790) = 316830