What is the Least Common Multiple of 1758 and 1776?

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 1758 and 1776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1758 and 1776, than apply into the LCM equation.

GCF(1758,1776) = 6
LCM(1758,1776) = ( 1758 × 1776) / 6
LCM(1758,1776) = 3122208 / 6
LCM(1758,1776) = 520368

Least Common Multiple (LCM) of 1758 and 1776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1758 and 1776. First we will calculate the prime factors of 1758 and 1776.

Prime Factorization of 1758

Prime Factorization of 1776

Now multiplying the highest exponent prime factors to calculate the LCM of 1758 and 1776.

LCM(1758,1776) = 2⁴ × 3¹ × 293¹ × 37¹
LCM(1758,1776) = 520368